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Finding the Third Proportional to 34,438,860 and 75,595,086

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Solution

The third proportional to 34,438,860 and 75,595,086 is: 165,935,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438,860 : 75,595,086 = 75,595,086 : x
  2. Step 2: Convert to fraction form
    34,438,860/75,595,086 = 75,595,086/x
  3. Step 3: Cross multiply
    34,438,860x = 75,595,086 × 75,595,086
  4. Step 4: Simplify right side
    34,438,860x = 5,714,617,027,347,396
  5. Step 5: Solve for x
    x = 5,714,617,027,347,396/34,438,860
  6. Step 6: Final answer
    x = 165,935,139.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.