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Finding the Third Proportional to 1,974,787,448 and 4,246,773,616

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Solution

The third proportional to 1,974,787,448 and 4,246,773,616 is: 9,132,672,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,787,448 : 4,246,773,616 = 4,246,773,616 : x
  2. Step 2: Convert to fraction form
    1,974,787,448/4,246,773,616 = 4,246,773,616/x
  3. Step 3: Cross multiply
    1,974,787,448x = 4,246,773,616 × 4,246,773,616
  4. Step 4: Simplify right side
    1,974,787,448x = 18,035,086,145,553,715,200
  5. Step 5: Solve for x
    x = 18,035,086,145,553,715,200/1,974,787,448
  6. Step 6: Final answer
    x = 9,132,672,057.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.