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Finding the Third Proportional to 14,486,961 and 30,701,103

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Solution

The third proportional to 14,486,961 and 30,701,103 is: 65,062,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486,961 : 30,701,103 = 30,701,103 : x
  2. Step 2: Convert to fraction form
    14,486,961/30,701,103 = 30,701,103/x
  3. Step 3: Cross multiply
    14,486,961x = 30,701,103 × 30,701,103
  4. Step 4: Simplify right side
    14,486,961x = 942,557,725,416,609
  5. Step 5: Solve for x
    x = 942,557,725,416,609/14,486,961
  6. Step 6: Final answer
    x = 65,062,487.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.