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Finding the Third Proportional to 3,427,434 and 7,327,341

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Solution

The third proportional to 3,427,434 and 7,327,341 is: 15,664,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,434 : 7,327,341 = 7,327,341 : x
  2. Step 2: Convert to fraction form
    3,427,434/7,327,341 = 7,327,341/x
  3. Step 3: Cross multiply
    3,427,434x = 7,327,341 × 7,327,341
  4. Step 4: Simplify right side
    3,427,434x = 53,689,926,130,281
  5. Step 5: Solve for x
    x = 53,689,926,130,281/3,427,434
  6. Step 6: Final answer
    x = 15,664,758.57

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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.