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Finding the Third Proportional to 8,269,215,824 and 12,710,366,697

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Solution

The third proportional to 8,269,215,824 and 12,710,366,697 is: 19,536,728,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,215,824 : 12,710,366,697 = 12,710,366,697 : x
  2. Step 2: Convert to fraction form
    8,269,215,824/12,710,366,697 = 12,710,366,697/x
  3. Step 3: Cross multiply
    8,269,215,824x = 12,710,366,697 × 12,710,366,697
  4. Step 4: Simplify right side
    8,269,215,824x = 161,553,421,572,206,690,304
  5. Step 5: Solve for x
    x = 161,553,421,572,206,690,304/8,269,215,824
  6. Step 6: Final answer
    x = 19,536,728,150.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.