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Finding the Third Proportional to 51,727,922 and 77,807,847

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Solution

The third proportional to 51,727,922 and 77,807,847 is: 117,036,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,727,922 : 77,807,847 = 77,807,847 : x
  2. Step 2: Convert to fraction form
    51,727,922/77,807,847 = 77,807,847/x
  3. Step 3: Cross multiply
    51,727,922x = 77,807,847 × 77,807,847
  4. Step 4: Simplify right side
    51,727,922x = 6,054,061,054,775,409
  5. Step 5: Solve for x
    x = 6,054,061,054,775,409/51,727,922
  6. Step 6: Final answer
    x = 117,036,618.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.