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Finding the Third Proportional to 493,221,583.50 and 1,073,270,033.25

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Solution

The third proportional to 493,221,583.50 and 1,073,270,033.25 is: 2,335,478,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221,583.50 : 1,073,270,033.25 = 1,073,270,033.25 : x
  2. Step 2: Convert to fraction form
    493,221,583.50/1,073,270,033.25 = 1,073,270,033.25/x
  3. Step 3: Cross multiply
    493,221,583.50x = 1,073,270,033.25 × 1,073,270,033.25
  4. Step 4: Simplify right side
    493,221,583.50x = 1,151,908,564,272,456,064
  5. Step 5: Solve for x
    x = 1,151,908,564,272,456,064/493,221,583.50
  6. Step 6: Final answer
    x = 2,335,478,824.95

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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.