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Finding the Third Proportional to 8,124,040,125 and 17,690,337,074

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Solution

The third proportional to 8,124,040,125 and 17,690,337,074 is: 38,521,230,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,040,125 : 17,690,337,074 = 17,690,337,074 : x
  2. Step 2: Convert to fraction form
    8,124,040,125/17,690,337,074 = 17,690,337,074/x
  3. Step 3: Cross multiply
    8,124,040,125x = 17,690,337,074 × 17,690,337,074
  4. Step 4: Simplify right side
    8,124,040,125x = 312,948,025,791,738,871,808
  5. Step 5: Solve for x
    x = 312,948,025,791,738,871,808/8,124,040,125
  6. Step 6: Final answer
    x = 38,521,230,936.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.