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Finding the Third Proportional to 31,001,132 and 51,046,608

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Solution

The third proportional to 31,001,132 and 51,046,608 is: 84,053,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,132 : 51,046,608 = 51,046,608 : x
  2. Step 2: Convert to fraction form
    31,001,132/51,046,608 = 51,046,608/x
  3. Step 3: Cross multiply
    31,001,132x = 51,046,608 × 51,046,608
  4. Step 4: Simplify right side
    31,001,132x = 2,605,756,188,305,664
  5. Step 5: Solve for x
    x = 2,605,756,188,305,664/31,001,132
  6. Step 6: Final answer
    x = 84,053,581.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.