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Finding the Third Proportional to 8,260,854 and 17,894,616

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Solution

The third proportional to 8,260,854 and 17,894,616 is: 38,763,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,854 : 17,894,616 = 17,894,616 : x
  2. Step 2: Convert to fraction form
    8,260,854/17,894,616 = 17,894,616/x
  3. Step 3: Cross multiply
    8,260,854x = 17,894,616 × 17,894,616
  4. Step 4: Simplify right side
    8,260,854x = 320,217,281,787,456
  5. Step 5: Solve for x
    x = 320,217,281,787,456/8,260,854
  6. Step 6: Final answer
    x = 38,763,217.68

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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.