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Finding the Third Proportional to 34,115,727 and 48,785,890

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Solution

The third proportional to 34,115,727 and 48,785,890 is: 69,764,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115,727 : 48,785,890 = 48,785,890 : x
  2. Step 2: Convert to fraction form
    34,115,727/48,785,890 = 48,785,890/x
  3. Step 3: Cross multiply
    34,115,727x = 48,785,890 × 48,785,890
  4. Step 4: Simplify right side
    34,115,727x = 2,380,063,063,092,100
  5. Step 5: Solve for x
    x = 2,380,063,063,092,100/34,115,727
  6. Step 6: Final answer
    x = 69,764,395.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.