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Finding the Third Proportional to 49,761,716 and 77,890,578

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Solution

The third proportional to 49,761,716 and 77,890,578 is: 121,919,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,761,716 : 77,890,578 = 77,890,578 : x
  2. Step 2: Convert to fraction form
    49,761,716/77,890,578 = 77,890,578/x
  3. Step 3: Cross multiply
    49,761,716x = 77,890,578 × 77,890,578
  4. Step 4: Simplify right side
    49,761,716x = 6,066,942,141,174,084
  5. Step 5: Solve for x
    x = 6,066,942,141,174,084/49,761,716
  6. Step 6: Final answer
    x = 121,919,873.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.