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Finding the Third Proportional to 29,689,272 and 45,970,524

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Solution

The third proportional to 29,689,272 and 45,970,524 is: 71,180,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689,272 : 45,970,524 = 45,970,524 : x
  2. Step 2: Convert to fraction form
    29,689,272/45,970,524 = 45,970,524/x
  3. Step 3: Cross multiply
    29,689,272x = 45,970,524 × 45,970,524
  4. Step 4: Simplify right side
    29,689,272x = 2,113,289,076,834,576
  5. Step 5: Solve for x
    x = 2,113,289,076,834,576/29,689,272
  6. Step 6: Final answer
    x = 71,180,225.53

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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.