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Finding the Third Proportional to 781,723,240 and 1,718,376,475

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Solution

The third proportional to 781,723,240 and 1,718,376,475 is: 3,777,318,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,723,240 : 1,718,376,475 = 1,718,376,475 : x
  2. Step 2: Convert to fraction form
    781,723,240/1,718,376,475 = 1,718,376,475/x
  3. Step 3: Cross multiply
    781,723,240x = 1,718,376,475 × 1,718,376,475
  4. Step 4: Simplify right side
    781,723,240x = 2,952,817,709,833,425,408
  5. Step 5: Solve for x
    x = 2,952,817,709,833,425,408/781,723,240
  6. Step 6: Final answer
    x = 3,777,318,568.44

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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.