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Finding the Third Proportional to 31,425,607.69 and 67,654,003.50

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Solution

The third proportional to 31,425,607.69 and 67,654,003.50 is: 145,647,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425,607.69 : 67,654,003.50 = 67,654,003.50 : x
  2. Step 2: Convert to fraction form
    31,425,607.69/67,654,003.50 = 67,654,003.50/x
  3. Step 3: Cross multiply
    31,425,607.69x = 67,654,003.50 × 67,654,003.50
  4. Step 4: Simplify right side
    31,425,607.69x = 4,577,064,189,578,012
  5. Step 5: Solve for x
    x = 4,577,064,189,578,012/31,425,607.69
  6. Step 6: Final answer
    x = 145,647,595.27

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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.