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Finding the Third Proportional to 785,752,938.28 and 1,711,009,138.78

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Solution

The third proportional to 785,752,938.28 and 1,711,009,138.78 is: 3,725,792,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,752,938.28 : 1,711,009,138.78 = 1,711,009,138.78 : x
  2. Step 2: Convert to fraction form
    785,752,938.28/1,711,009,138.78 = 1,711,009,138.78/x
  3. Step 3: Cross multiply
    785,752,938.28x = 1,711,009,138.78 × 1,711,009,138.78
  4. Step 4: Simplify right side
    785,752,938.28x = 2,927,552,272,992,783,360
  5. Step 5: Solve for x
    x = 2,927,552,272,992,783,360/785,752,938.28
  6. Step 6: Final answer
    x = 3,725,792,332.89

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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.