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Finding the Third Proportional to 47,328,650 and 67,633,743

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Solution

The third proportional to 47,328,650 and 67,633,743 is: 96,650,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328,650 : 67,633,743 = 67,633,743 : x
  2. Step 2: Convert to fraction form
    47,328,650/67,633,743 = 67,633,743/x
  3. Step 3: Cross multiply
    47,328,650x = 67,633,743 × 67,633,743
  4. Step 4: Simplify right side
    47,328,650x = 4,574,323,192,190,049
  5. Step 5: Solve for x
    x = 4,574,323,192,190,049/47,328,650
  6. Step 6: Final answer
    x = 96,650,193.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.