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Finding the Third Proportional to 31,195,414 and 48,558,708

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Solution

The third proportional to 31,195,414 and 48,558,708 is: 75,586,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,414 : 48,558,708 = 48,558,708 : x
  2. Step 2: Convert to fraction form
    31,195,414/48,558,708 = 48,558,708/x
  3. Step 3: Cross multiply
    31,195,414x = 48,558,708 × 48,558,708
  4. Step 4: Simplify right side
    31,195,414x = 2,357,948,122,629,264
  5. Step 5: Solve for x
    x = 2,357,948,122,629,264/31,195,414
  6. Step 6: Final answer
    x = 75,586,370.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.