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Finding the Third Proportional to 14,328,419 and 31,471,713

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Solution

The third proportional to 14,328,419 and 31,471,713 is: 69,126,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328,419 : 31,471,713 = 31,471,713 : x
  2. Step 2: Convert to fraction form
    14,328,419/31,471,713 = 31,471,713/x
  3. Step 3: Cross multiply
    14,328,419x = 31,471,713 × 31,471,713
  4. Step 4: Simplify right side
    14,328,419x = 990,468,719,154,369
  5. Step 5: Solve for x
    x = 990,468,719,154,369/14,328,419
  6. Step 6: Final answer
    x = 69,126,169.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.