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Finding the Third Proportional to 71,778,864 and 107,641,941

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Solution

The third proportional to 71,778,864 and 107,641,941 is: 161,423,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778,864 : 107,641,941 = 107,641,941 : x
  2. Step 2: Convert to fraction form
    71,778,864/107,641,941 = 107,641,941/x
  3. Step 3: Cross multiply
    71,778,864x = 107,641,941 × 107,641,941
  4. Step 4: Simplify right side
    71,778,864x = 11,586,787,462,247,480
  5. Step 5: Solve for x
    x = 11,586,787,462,247,480/71,778,864
  6. Step 6: Final answer
    x = 161,423,388.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.