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Finding the Third Proportional to 41,663,944.69 and 64,766,023.03

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Solution

The third proportional to 41,663,944.69 and 64,766,023.03 is: 100,677,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,663,944.69 : 64,766,023.03 = 64,766,023.03 : x
  2. Step 2: Convert to fraction form
    41,663,944.69/64,766,023.03 = 64,766,023.03/x
  3. Step 3: Cross multiply
    41,663,944.69x = 64,766,023.03 × 64,766,023.03
  4. Step 4: Simplify right side
    41,663,944.69x = 4,194,637,739,284,405.50
  5. Step 5: Solve for x
    x = 4,194,637,739,284,405.50/41,663,944.69
  6. Step 6: Final answer
    x = 100,677,882.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.