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Finding the Third Proportional to 29,103,627 and 48,503,120

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Solution

The third proportional to 29,103,627 and 48,503,120 is: 80,833,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,103,627 : 48,503,120 = 48,503,120 : x
  2. Step 2: Convert to fraction form
    29,103,627/48,503,120 = 48,503,120/x
  3. Step 3: Cross multiply
    29,103,627x = 48,503,120 × 48,503,120
  4. Step 4: Simplify right side
    29,103,627x = 2,352,552,649,734,400
  5. Step 5: Solve for x
    x = 2,352,552,649,734,400/29,103,627
  6. Step 6: Final answer
    x = 80,833,658.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.