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Finding the Third Proportional to 14,182,298 and 34,192,793

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Solution

The third proportional to 14,182,298 and 34,192,793 is: 82,437,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182,298 : 34,192,793 = 34,192,793 : x
  2. Step 2: Convert to fraction form
    14,182,298/34,192,793 = 34,192,793/x
  3. Step 3: Cross multiply
    14,182,298x = 34,192,793 × 34,192,793
  4. Step 4: Simplify right side
    14,182,298x = 1,169,147,093,140,849
  5. Step 5: Solve for x
    x = 1,169,147,093,140,849/14,182,298
  6. Step 6: Final answer
    x = 82,437,070.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.