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Finding the Third Proportional to 9,691,882,257 and 21,081,882,588

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Solution

The third proportional to 9,691,882,257 and 21,081,882,588 is: 45,857,529,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,882,257 : 21,081,882,588 = 21,081,882,588 : x
  2. Step 2: Convert to fraction form
    9,691,882,257/21,081,882,588 = 21,081,882,588/x
  3. Step 3: Cross multiply
    9,691,882,257x = 21,081,882,588 × 21,081,882,588
  4. Step 4: Simplify right side
    9,691,882,257x = 444,445,773,454,217,576,448
  5. Step 5: Solve for x
    x = 444,445,773,454,217,576,448/9,691,882,257
  6. Step 6: Final answer
    x = 45,857,529,184.61

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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.