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Finding the Third Proportional to 49,851,038 and 80,096,743

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Solution

The third proportional to 49,851,038 and 80,096,743 is: 128,693,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,851,038 : 80,096,743 = 80,096,743 : x
  2. Step 2: Convert to fraction form
    49,851,038/80,096,743 = 80,096,743/x
  3. Step 3: Cross multiply
    49,851,038x = 80,096,743 × 80,096,743
  4. Step 4: Simplify right side
    49,851,038x = 6,415,488,239,208,049
  5. Step 5: Solve for x
    x = 6,415,488,239,208,049/49,851,038
  6. Step 6: Final answer
    x = 128,693,172.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.