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Finding the Third Proportional to 10,077,546.38 and 21,475,082.81

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Solution

The third proportional to 10,077,546.38 and 21,475,082.81 is: 45,763,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077,546.38 : 21,475,082.81 = 21,475,082.81 : x
  2. Step 2: Convert to fraction form
    10,077,546.38/21,475,082.81 = 21,475,082.81/x
  3. Step 3: Cross multiply
    10,077,546.38x = 21,475,082.81 × 21,475,082.81
  4. Step 4: Simplify right side
    10,077,546.38x = 461,179,181,803,732.94
  5. Step 5: Solve for x
    x = 461,179,181,803,732.94/10,077,546.38
  6. Step 6: Final answer
    x = 45,763,042.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.