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Finding the Third Proportional to 30,433,924.13 and 61,930,726.88

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Solution

The third proportional to 30,433,924.13 and 61,930,726.88 is: 126,024,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433,924.13 : 61,930,726.88 = 61,930,726.88 : x
  2. Step 2: Convert to fraction form
    30,433,924.13/61,930,726.88 = 61,930,726.88/x
  3. Step 3: Cross multiply
    30,433,924.13x = 61,930,726.88 × 61,930,726.88
  4. Step 4: Simplify right side
    30,433,924.13x = 3,835,414,931,265,847.50
  5. Step 5: Solve for x
    x = 3,835,414,931,265,847.50/30,433,924.13
  6. Step 6: Final answer
    x = 126,024,331.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.