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Finding the Third Proportional to 614,834,761.50 and 1,338,836,332.50

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Solution

The third proportional to 614,834,761.50 and 1,338,836,332.50 is: 2,915,389,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,834,761.50 : 1,338,836,332.50 = 1,338,836,332.50 : x
  2. Step 2: Convert to fraction form
    614,834,761.50/1,338,836,332.50 = 1,338,836,332.50/x
  3. Step 3: Cross multiply
    614,834,761.50x = 1,338,836,332.50 × 1,338,836,332.50
  4. Step 4: Simplify right side
    614,834,761.50x = 1,792,482,725,222,050,560
  5. Step 5: Solve for x
    x = 1,792,482,725,222,050,560/614,834,761.50
  6. Step 6: Final answer
    x = 2,915,389,365.51

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