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Finding the Third Proportional to 8,891,022,702 and 19,331,668,311

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Solution

The third proportional to 8,891,022,702 and 19,331,668,311 is: 42,032,667,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891,022,702 : 19,331,668,311 = 19,331,668,311 : x
  2. Step 2: Convert to fraction form
    8,891,022,702/19,331,668,311 = 19,331,668,311/x
  3. Step 3: Cross multiply
    8,891,022,702x = 19,331,668,311 × 19,331,668,311
  4. Step 4: Simplify right side
    8,891,022,702x = 373,713,399,686,521,618,432
  5. Step 5: Solve for x
    x = 373,713,399,686,521,618,432/8,891,022,702
  6. Step 6: Final answer
    x = 42,032,667,355.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.