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Finding the Third Proportional to 29,689,206 and 45,970,425

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Solution

The third proportional to 29,689,206 and 45,970,425 is: 71,180,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689,206 : 45,970,425 = 45,970,425 : x
  2. Step 2: Convert to fraction form
    29,689,206/45,970,425 = 45,970,425/x
  3. Step 3: Cross multiply
    29,689,206x = 45,970,425 × 45,970,425
  4. Step 4: Simplify right side
    29,689,206x = 2,113,279,974,680,625
  5. Step 5: Solve for x
    x = 2,113,279,974,680,625/29,689,206
  6. Step 6: Final answer
    x = 71,180,077.19

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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.