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Finding the Third Proportional to 49,764,063 and 77,893,790

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Solution

The third proportional to 49,764,063 and 77,893,790 is: 121,924,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764,063 : 77,893,790 = 77,893,790 : x
  2. Step 2: Convert to fraction form
    49,764,063/77,893,790 = 77,893,790/x
  3. Step 3: Cross multiply
    49,764,063x = 77,893,790 × 77,893,790
  4. Step 4: Simplify right side
    49,764,063x = 6,067,442,520,564,100
  5. Step 5: Solve for x
    x = 6,067,442,520,564,100/49,764,063
  6. Step 6: Final answer
    x = 121,924,178.91

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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.