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Finding the Third Proportional to 6,384,825,976 and 14,917,834,432

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Solution

The third proportional to 6,384,825,976 and 14,917,834,432 is: 34,854,792,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,825,976 : 14,917,834,432 = 14,917,834,432 : x
  2. Step 2: Convert to fraction form
    6,384,825,976/14,917,834,432 = 14,917,834,432/x
  3. Step 3: Cross multiply
    6,384,825,976x = 14,917,834,432 × 14,917,834,432
  4. Step 4: Simplify right side
    6,384,825,976x = 222,541,784,140,564,758,528
  5. Step 5: Solve for x
    x = 222,541,784,140,564,758,528/6,384,825,976
  6. Step 6: Final answer
    x = 34,854,792,437.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.