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Finding the Third Proportional to 10,715,472.56 and 23,511,961.13

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Solution

The third proportional to 10,715,472.56 and 23,511,961.13 is: 51,590,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715,472.56 : 23,511,961.13 = 23,511,961.13 : x
  2. Step 2: Convert to fraction form
    10,715,472.56/23,511,961.13 = 23,511,961.13/x
  3. Step 3: Cross multiply
    10,715,472.56x = 23,511,961.13 × 23,511,961.13
  4. Step 4: Simplify right side
    10,715,472.56x = 552,812,315,943,511.25
  5. Step 5: Solve for x
    x = 552,812,315,943,511.25/10,715,472.56
  6. Step 6: Final answer
    x = 51,590,101.39

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Why These Related Problems?

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