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Finding the Third Proportional to 3,644,397.56 and 7,975,216.97

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Solution

The third proportional to 3,644,397.56 and 7,975,216.97 is: 17,452,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,397.56 : 7,975,216.97 = 7,975,216.97 : x
  2. Step 2: Convert to fraction form
    3,644,397.56/7,975,216.97 = 7,975,216.97/x
  3. Step 3: Cross multiply
    3,644,397.56x = 7,975,216.97 × 7,975,216.97
  4. Step 4: Simplify right side
    3,644,397.56x = 63,604,085,698,637.94
  5. Step 5: Solve for x
    x = 63,604,085,698,637.94/3,644,397.56
  6. Step 6: Final answer
    x = 17,452,565.10

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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.