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Finding the Third Proportional to 41,834,034 and 90,614,676

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Solution

The third proportional to 41,834,034 and 90,614,676 is: 196,276,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834,034 : 90,614,676 = 90,614,676 : x
  2. Step 2: Convert to fraction form
    41,834,034/90,614,676 = 90,614,676/x
  3. Step 3: Cross multiply
    41,834,034x = 90,614,676 × 90,614,676
  4. Step 4: Simplify right side
    41,834,034x = 8,211,019,506,584,976
  5. Step 5: Solve for x
    x = 8,211,019,506,584,976/41,834,034
  6. Step 6: Final answer
    x = 196,276,063.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.