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Finding the Third Proportional to 5,684,877 and 12,327,471

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Solution

The third proportional to 5,684,877 and 12,327,471 is: 26,731,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,877 : 12,327,471 = 12,327,471 : x
  2. Step 2: Convert to fraction form
    5,684,877/12,327,471 = 12,327,471/x
  3. Step 3: Cross multiply
    5,684,877x = 12,327,471 × 12,327,471
  4. Step 4: Simplify right side
    5,684,877x = 151,966,541,255,841
  5. Step 5: Solve for x
    x = 151,966,541,255,841/5,684,877
  6. Step 6: Final answer
    x = 26,731,720.19

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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.