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Finding the Third Proportional to 2,181,117.38 and 4,659,130.13

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Solution

The third proportional to 2,181,117.38 and 4,659,130.13 is: 9,952,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,117.38 : 4,659,130.13 = 4,659,130.13 : x
  2. Step 2: Convert to fraction form
    2,181,117.38/4,659,130.13 = 4,659,130.13/x
  3. Step 3: Cross multiply
    2,181,117.38x = 4,659,130.13 × 4,659,130.13
  4. Step 4: Simplify right side
    2,181,117.38x = 21,707,493,521,682.52
  5. Step 5: Solve for x
    x = 21,707,493,521,682.52/2,181,117.38
  6. Step 6: Final answer
    x = 9,952,464.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.