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Finding the Third Proportional to 781,723,237.50 and 1,718,376,471

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Solution

The third proportional to 781,723,237.50 and 1,718,376,471 is: 3,777,318,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,723,237.50 : 1,718,376,471 = 1,718,376,471 : x
  2. Step 2: Convert to fraction form
    781,723,237.50/1,718,376,471 = 1,718,376,471/x
  3. Step 3: Cross multiply
    781,723,237.50x = 1,718,376,471 × 1,718,376,471
  4. Step 4: Simplify right side
    781,723,237.50x = 2,952,817,696,086,413,824
  5. Step 5: Solve for x
    x = 2,952,817,696,086,413,824/781,723,237.50
  6. Step 6: Final answer
    x = 3,777,318,562.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.