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Finding the Third Proportional to 8,253,055,784 and 18,127,446,612

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Solution

The third proportional to 8,253,055,784 and 18,127,446,612 is: 39,816,078,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,055,784 : 18,127,446,612 = 18,127,446,612 : x
  2. Step 2: Convert to fraction form
    8,253,055,784/18,127,446,612 = 18,127,446,612/x
  3. Step 3: Cross multiply
    8,253,055,784x = 18,127,446,612 × 18,127,446,612
  4. Step 4: Simplify right side
    8,253,055,784x = 328,604,320,670,910,251,008
  5. Step 5: Solve for x
    x = 328,604,320,670,910,251,008/8,253,055,784
  6. Step 6: Final answer
    x = 39,816,078,949.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.