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Finding the Third Proportional to 781,723,244 and 1,718,376,483

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Solution

The third proportional to 781,723,244 and 1,718,376,483 is: 3,777,318,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,723,244 : 1,718,376,483 = 1,718,376,483 : x
  2. Step 2: Convert to fraction form
    781,723,244/1,718,376,483 = 1,718,376,483/x
  3. Step 3: Cross multiply
    781,723,244x = 1,718,376,483 × 1,718,376,483
  4. Step 4: Simplify right side
    781,723,244x = 2,952,817,737,327,449,088
  5. Step 5: Solve for x
    x = 2,952,817,737,327,449,088/781,723,244
  6. Step 6: Final answer
    x = 3,777,318,584.28

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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.