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Finding the Third Proportional to 46,906,632 and 71,754,924

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Solution

The third proportional to 46,906,632 and 71,754,924 is: 109,766,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906,632 : 71,754,924 = 71,754,924 : x
  2. Step 2: Convert to fraction form
    46,906,632/71,754,924 = 71,754,924/x
  3. Step 3: Cross multiply
    46,906,632x = 71,754,924 × 71,754,924
  4. Step 4: Simplify right side
    46,906,632x = 5,148,769,118,245,776
  5. Step 5: Solve for x
    x = 5,148,769,118,245,776/46,906,632
  6. Step 6: Final answer
    x = 109,766,335.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.