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Finding the Third Proportional to 3,772,458,711,583.20 and 8,205,891,227,024.40

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Solution

The third proportional to 3,772,458,711,583.20 and 8,205,891,227,024.40 is: 17,849,539,511,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772,458,711,583.20 : 8,205,891,227,024.40 = 8,205,891,227,024.40 : x
  2. Step 2: Convert to fraction form
    3,772,458,711,583.20/8,205,891,227,024.40 = 8,205,891,227,024.40/x
  3. Step 3: Cross multiply
    3,772,458,711,583.20x = 8,205,891,227,024.40 × 8,205,891,227,024.40
  4. Step 4: Simplify right side
    3,772,458,711,583.20x = 67,336,650,829,756,017,596,694,528
  5. Step 5: Solve for x
    x = 67,336,650,829,756,017,596,694,528/3,772,458,711,583.20
  6. Step 6: Final answer
    x = 17,849,539,511,990.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.