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Finding the Third Proportional to 31,981,653 and 49,127,733

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Solution

The third proportional to 31,981,653 and 49,127,733 is: 75,466,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,981,653 : 49,127,733 = 49,127,733 : x
  2. Step 2: Convert to fraction form
    31,981,653/49,127,733 = 49,127,733/x
  3. Step 3: Cross multiply
    31,981,653x = 49,127,733 × 49,127,733
  4. Step 4: Simplify right side
    31,981,653x = 2,413,534,149,719,289
  5. Step 5: Solve for x
    x = 2,413,534,149,719,289/31,981,653
  6. Step 6: Final answer
    x = 75,466,210.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.