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Finding the Third Proportional to 2,851,129.13 and 5,904,370.13

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Solution

The third proportional to 2,851,129.13 and 5,904,370.13 is: 12,227,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,129.13 : 5,904,370.13 = 5,904,370.13 : x
  2. Step 2: Convert to fraction form
    2,851,129.13/5,904,370.13 = 5,904,370.13/x
  3. Step 3: Cross multiply
    2,851,129.13x = 5,904,370.13 × 5,904,370.13
  4. Step 4: Simplify right side
    2,851,129.13x = 34,861,586,572,992.52
  5. Step 5: Solve for x
    x = 34,861,586,572,992.52/2,851,129.13
  6. Step 6: Final answer
    x = 12,227,291.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.