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Finding the Third Proportional to 2,127,728.25 and 4,617,131.63

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Solution

The third proportional to 2,127,728.25 and 4,617,131.63 is: 10,019,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,728.25 : 4,617,131.63 = 4,617,131.63 : x
  2. Step 2: Convert to fraction form
    2,127,728.25/4,617,131.63 = 4,617,131.63/x
  3. Step 3: Cross multiply
    2,127,728.25x = 4,617,131.63 × 4,617,131.63
  4. Step 4: Simplify right side
    2,127,728.25x = 21,317,904,442,575.14
  5. Step 5: Solve for x
    x = 21,317,904,442,575.14/2,127,728.25
  6. Step 6: Final answer
    x = 10,019,091.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.