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Finding the Third Proportional to 219,826,660,768 and 476,155,793,016

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Solution

The third proportional to 219,826,660,768 and 476,155,793,016 is: 1,031,377,806,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,826,660,768 : 476,155,793,016 = 476,155,793,016 : x
  2. Step 2: Convert to fraction form
    219,826,660,768/476,155,793,016 = 476,155,793,016/x
  3. Step 3: Cross multiply
    219,826,660,768x = 476,155,793,016 × 476,155,793,016
  4. Step 4: Simplify right side
    219,826,660,768x = 226,724,339,222,695,850,803,200
  5. Step 5: Solve for x
    x = 226,724,339,222,695,850,803,200/219,826,660,768
  6. Step 6: Final answer
    x = 1,031,377,806,634.54

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