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Finding the Third Proportional to 10,857,876.75 and 22,608,876.38

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Solution

The third proportional to 10,857,876.75 and 22,608,876.38 is: 47,077,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857,876.75 : 22,608,876.38 = 22,608,876.38 : x
  2. Step 2: Convert to fraction form
    10,857,876.75/22,608,876.38 = 22,608,876.38/x
  3. Step 3: Cross multiply
    10,857,876.75x = 22,608,876.38 × 22,608,876.38
  4. Step 4: Simplify right side
    10,857,876.75x = 511,161,290,940,033.12
  5. Step 5: Solve for x
    x = 511,161,290,940,033.12/10,857,876.75
  6. Step 6: Final answer
    x = 47,077,463.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.