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Finding the Third Proportional to 41,707,630 and 90,829,910

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Solution

The third proportional to 41,707,630 and 90,829,910 is: 197,807,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707,630 : 90,829,910 = 90,829,910 : x
  2. Step 2: Convert to fraction form
    41,707,630/90,829,910 = 90,829,910/x
  3. Step 3: Cross multiply
    41,707,630x = 90,829,910 × 90,829,910
  4. Step 4: Simplify right side
    41,707,630x = 8,250,072,550,608,100
  5. Step 5: Solve for x
    x = 8,250,072,550,608,100/41,707,630
  6. Step 6: Final answer
    x = 197,807,272.93

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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.