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Finding the Third Proportional to 8,510,294,264 and 18,623,741,413

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Solution

The third proportional to 8,510,294,264 and 18,623,741,413 is: 40,755,787,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510,294,264 : 18,623,741,413 = 18,623,741,413 : x
  2. Step 2: Convert to fraction form
    8,510,294,264/18,623,741,413 = 18,623,741,413/x
  3. Step 3: Cross multiply
    8,510,294,264x = 18,623,741,413 × 18,623,741,413
  4. Step 4: Simplify right side
    8,510,294,264x = 346,843,744,218,291,240,960
  5. Step 5: Solve for x
    x = 346,843,744,218,291,240,960/8,510,294,264
  6. Step 6: Final answer
    x = 40,755,787,456.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.