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Finding the Third Proportional to 3,721,442.48 and 8,013,115.48

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Solution

The third proportional to 3,721,442.48 and 8,013,115.48 is: 17,254,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721,442.48 : 8,013,115.48 = 8,013,115.48 : x
  2. Step 2: Convert to fraction form
    3,721,442.48/8,013,115.48 = 8,013,115.48/x
  3. Step 3: Cross multiply
    3,721,442.48x = 8,013,115.48 × 8,013,115.48
  4. Step 4: Simplify right side
    3,721,442.48x = 64,210,019,640,725.46
  5. Step 5: Solve for x
    x = 64,210,019,640,725.46/3,721,442.48
  6. Step 6: Final answer
    x = 17,254,067.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.