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Finding the Third Proportional to 3,637,396.13 and 5,057,508.38

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Solution

The third proportional to 3,637,396.13 and 5,057,508.38 is: 7,032,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637,396.13 : 5,057,508.38 = 5,057,508.38 : x
  2. Step 2: Convert to fraction form
    3,637,396.13/5,057,508.38 = 5,057,508.38/x
  3. Step 3: Cross multiply
    3,637,396.13x = 5,057,508.38 × 5,057,508.38
  4. Step 4: Simplify right side
    3,637,396.13x = 25,578,390,963,195.14
  5. Step 5: Solve for x
    x = 25,578,390,963,195.14/3,637,396.13
  6. Step 6: Final answer
    x = 7,032,060.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.