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Finding the Third Proportional to 41,707,404 and 90,829,425

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Solution

The third proportional to 41,707,404 and 90,829,425 is: 197,806,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707,404 : 90,829,425 = 90,829,425 : x
  2. Step 2: Convert to fraction form
    41,707,404/90,829,425 = 90,829,425/x
  3. Step 3: Cross multiply
    41,707,404x = 90,829,425 × 90,829,425
  4. Step 4: Simplify right side
    41,707,404x = 8,249,984,445,830,625
  5. Step 5: Solve for x
    x = 8,249,984,445,830,625/41,707,404
  6. Step 6: Final answer
    x = 197,806,232.34

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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.