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Finding the Third Proportional to 29,829,839.94 and 64,218,598.85

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Solution

The third proportional to 29,829,839.94 and 64,218,598.85 is: 138,251,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,839.94 : 64,218,598.85 = 64,218,598.85 : x
  2. Step 2: Convert to fraction form
    29,829,839.94/64,218,598.85 = 64,218,598.85/x
  3. Step 3: Cross multiply
    29,829,839.94x = 64,218,598.85 × 64,218,598.85
  4. Step 4: Simplify right side
    29,829,839.94x = 4,124,028,438,081,647.50
  5. Step 5: Solve for x
    x = 4,124,028,438,081,647.50/29,829,839.94
  6. Step 6: Final answer
    x = 138,251,778.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.