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Finding the Third Proportional to 9,691,841,073 and 21,081,793,605

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Solution

The third proportional to 9,691,841,073 and 21,081,793,605 is: 45,857,336,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,841,073 : 21,081,793,605 = 21,081,793,605 : x
  2. Step 2: Convert to fraction form
    9,691,841,073/21,081,793,605 = 21,081,793,605/x
  3. Step 3: Cross multiply
    9,691,841,073x = 21,081,793,605 × 21,081,793,605
  4. Step 4: Simplify right side
    9,691,841,073x = 444,442,021,603,818,864,640
  5. Step 5: Solve for x
    x = 444,442,021,603,818,864,640/9,691,841,073
  6. Step 6: Final answer
    x = 45,857,336,934.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.