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Finding the Third Proportional to 41,707,626 and 90,829,902

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Solution

The third proportional to 41,707,626 and 90,829,902 is: 197,807,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707,626 : 90,829,902 = 90,829,902 : x
  2. Step 2: Convert to fraction form
    41,707,626/90,829,902 = 90,829,902/x
  3. Step 3: Cross multiply
    41,707,626x = 90,829,902 × 90,829,902
  4. Step 4: Simplify right side
    41,707,626x = 8,250,071,097,329,604
  5. Step 5: Solve for x
    x = 8,250,071,097,329,604/41,707,626
  6. Step 6: Final answer
    x = 197,807,257.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.