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Finding the Third Proportional to 77,035,626 and 119,667,374

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Solution

The third proportional to 77,035,626 and 119,667,374 is: 185,891,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035,626 : 119,667,374 = 119,667,374 : x
  2. Step 2: Convert to fraction form
    77,035,626/119,667,374 = 119,667,374/x
  3. Step 3: Cross multiply
    77,035,626x = 119,667,374 × 119,667,374
  4. Step 4: Simplify right side
    77,035,626x = 14,320,280,400,055,876
  5. Step 5: Solve for x
    x = 14,320,280,400,055,876/77,035,626
  6. Step 6: Final answer
    x = 185,891,660.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.