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Finding the Third Proportional to 846,413,736 and 1,834,074,624

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Solution

The third proportional to 846,413,736 and 1,834,074,624 is: 3,974,214,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,413,736 : 1,834,074,624 = 1,834,074,624 : x
  2. Step 2: Convert to fraction form
    846,413,736/1,834,074,624 = 1,834,074,624/x
  3. Step 3: Cross multiply
    846,413,736x = 1,834,074,624 × 1,834,074,624
  4. Step 4: Simplify right side
    846,413,736x = 3,363,829,726,400,741,376
  5. Step 5: Solve for x
    x = 3,363,829,726,400,741,376/846,413,736
  6. Step 6: Final answer
    x = 3,974,214,480.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.