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Finding the Third Proportional to 42,844,421 and 65,270,559

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Solution

The third proportional to 42,844,421 and 65,270,559 is: 99,435,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844,421 : 65,270,559 = 65,270,559 : x
  2. Step 2: Convert to fraction form
    42,844,421/65,270,559 = 65,270,559/x
  3. Step 3: Cross multiply
    42,844,421x = 65,270,559 × 65,270,559
  4. Step 4: Simplify right side
    42,844,421x = 4,260,245,872,172,481
  5. Step 5: Solve for x
    x = 4,260,245,872,172,481/42,844,421
  6. Step 6: Final answer
    x = 99,435,253.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.