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Finding the Third Proportional to 31,527,895 and 47,517,351

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Solution

The third proportional to 31,527,895 and 47,517,351 is: 71,615,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,895 : 47,517,351 = 47,517,351 : x
  2. Step 2: Convert to fraction form
    31,527,895/47,517,351 = 47,517,351/x
  3. Step 3: Cross multiply
    31,527,895x = 47,517,351 × 47,517,351
  4. Step 4: Simplify right side
    31,527,895x = 2,257,898,646,057,201
  5. Step 5: Solve for x
    x = 2,257,898,646,057,201/31,527,895
  6. Step 6: Final answer
    x = 71,615,902.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.