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Finding the Third Proportional to 55,403,340 and 82,794,924

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Solution

The third proportional to 55,403,340 and 82,794,924 is: 123,728,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,403,340 : 82,794,924 = 82,794,924 : x
  2. Step 2: Convert to fraction form
    55,403,340/82,794,924 = 82,794,924/x
  3. Step 3: Cross multiply
    55,403,340x = 82,794,924 × 82,794,924
  4. Step 4: Simplify right side
    55,403,340x = 6,854,999,440,165,776
  5. Step 5: Solve for x
    x = 6,854,999,440,165,776/55,403,340
  6. Step 6: Final answer
    x = 123,728,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.