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Finding the Third Proportional to 7,891,543,631 and 17,172,317,046

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Solution

The third proportional to 7,891,543,631 and 17,172,317,046 is: 37,367,654,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891,543,631 : 17,172,317,046 = 17,172,317,046 : x
  2. Step 2: Convert to fraction form
    7,891,543,631/17,172,317,046 = 17,172,317,046/x
  3. Step 3: Cross multiply
    7,891,543,631x = 17,172,317,046 × 17,172,317,046
  4. Step 4: Simplify right side
    7,891,543,631x = 294,888,472,728,342,167,552
  5. Step 5: Solve for x
    x = 294,888,472,728,342,167,552/7,891,543,631
  6. Step 6: Final answer
    x = 37,367,654,101.28

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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.