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Finding the Third Proportional to 2,327,271.75 and 4,934,449.13

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Solution

The third proportional to 2,327,271.75 and 4,934,449.13 is: 10,462,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327,271.75 : 4,934,449.13 = 4,934,449.13 : x
  2. Step 2: Convert to fraction form
    2,327,271.75/4,934,449.13 = 4,934,449.13/x
  3. Step 3: Cross multiply
    2,327,271.75x = 4,934,449.13 × 4,934,449.13
  4. Step 4: Simplify right side
    2,327,271.75x = 24,348,788,167,213.27
  5. Step 5: Solve for x
    x = 24,348,788,167,213.27/2,327,271.75
  6. Step 6: Final answer
    x = 10,462,374.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.