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Finding the Third Proportional to 51,049,413 and 77,181,723

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Solution

The third proportional to 51,049,413 and 77,181,723 is: 116,691,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,049,413 : 77,181,723 = 77,181,723 : x
  2. Step 2: Convert to fraction form
    51,049,413/77,181,723 = 77,181,723/x
  3. Step 3: Cross multiply
    51,049,413x = 77,181,723 × 77,181,723
  4. Step 4: Simplify right side
    51,049,413x = 5,957,018,365,248,729
  5. Step 5: Solve for x
    x = 5,957,018,365,248,729/51,049,413
  6. Step 6: Final answer
    x = 116,691,221.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.