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Finding the Third Proportional to 34,498,171.13 and 73,783,000.13

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Solution

The third proportional to 34,498,171.13 and 73,783,000.13 is: 157,803,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,498,171.13 : 73,783,000.13 = 73,783,000.13 : x
  2. Step 2: Convert to fraction form
    34,498,171.13/73,783,000.13 = 73,783,000.13/x
  3. Step 3: Cross multiply
    34,498,171.13x = 73,783,000.13 × 73,783,000.13
  4. Step 4: Simplify right side
    34,498,171.13x = 5,443,931,107,445,750
  5. Step 5: Solve for x
    x = 5,443,931,107,445,750/34,498,171.13
  6. Step 6: Final answer
    x = 157,803,469.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.