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Finding the Third Proportional to 7,961,568.47 and 17,413,425.56

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Solution

The third proportional to 7,961,568.47 and 17,413,425.56 is: 38,086,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961,568.47 : 17,413,425.56 = 17,413,425.56 : x
  2. Step 2: Convert to fraction form
    7,961,568.47/17,413,425.56 = 17,413,425.56/x
  3. Step 3: Cross multiply
    7,961,568.47x = 17,413,425.56 × 17,413,425.56
  4. Step 4: Simplify right side
    7,961,568.47x = 303,227,389,820,728.44
  5. Step 5: Solve for x
    x = 303,227,389,820,728.44/7,961,568.47
  6. Step 6: Final answer
    x = 38,086,388.51

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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.