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Finding the Third Proportional to 10,192,217,105,016 and 22,357,699,930,472

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Solution

The third proportional to 10,192,217,105,016 and 22,357,699,930,472 is: 49,043,965,707,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192,217,105,016 : 22,357,699,930,472 = 22,357,699,930,472 : x
  2. Step 2: Convert to fraction form
    10,192,217,105,016/22,357,699,930,472 = 22,357,699,930,472/x
  3. Step 3: Cross multiply
    10,192,217,105,016x = 22,357,699,930,472 × 22,357,699,930,472
  4. Step 4: Simplify right side
    10,192,217,105,016x = 499,866,746,181,027,641,503,514,624
  5. Step 5: Solve for x
    x = 499,866,746,181,027,641,503,514,624/10,192,217,105,016
  6. Step 6: Final answer
    x = 49,043,965,707,424.26

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