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Finding the Third Proportional to 2,338,786,017 and 5,200,487,694

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Solution

The third proportional to 2,338,786,017 and 5,200,487,694 is: 11,563,722,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,786,017 : 5,200,487,694 = 5,200,487,694 : x
  2. Step 2: Convert to fraction form
    2,338,786,017/5,200,487,694 = 5,200,487,694/x
  3. Step 3: Cross multiply
    2,338,786,017x = 5,200,487,694 × 5,200,487,694
  4. Step 4: Simplify right side
    2,338,786,017x = 27,045,072,255,445,438,464
  5. Step 5: Solve for x
    x = 27,045,072,255,445,438,464/2,338,786,017
  6. Step 6: Final answer
    x = 11,563,722,400.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.