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Finding the Third Proportional to 7,275,593.81 and 11,413,242.56

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Solution

The third proportional to 7,275,593.81 and 11,413,242.56 is: 17,903,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275,593.81 : 11,413,242.56 = 11,413,242.56 : x
  2. Step 2: Convert to fraction form
    7,275,593.81/11,413,242.56 = 11,413,242.56/x
  3. Step 3: Cross multiply
    7,275,593.81x = 11,413,242.56 × 11,413,242.56
  4. Step 4: Simplify right side
    7,275,593.81x = 130,262,105,790,461.56
  5. Step 5: Solve for x
    x = 130,262,105,790,461.56/7,275,593.81
  6. Step 6: Final answer
    x = 17,903,982.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.