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Finding the Third Proportional to 13,909,650 and 29,876,025

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Solution

The third proportional to 13,909,650 and 29,876,025 is: 64,169,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909,650 : 29,876,025 = 29,876,025 : x
  2. Step 2: Convert to fraction form
    13,909,650/29,876,025 = 29,876,025/x
  3. Step 3: Cross multiply
    13,909,650x = 29,876,025 × 29,876,025
  4. Step 4: Simplify right side
    13,909,650x = 892,576,869,800,625
  5. Step 5: Solve for x
    x = 892,576,869,800,625/13,909,650
  6. Step 6: Final answer
    x = 64,169,613.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.