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Finding the Third Proportional to 17,297,700 and 24,331,374

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Solution

The third proportional to 17,297,700 and 24,331,374 is: 34,225,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297,700 : 24,331,374 = 24,331,374 : x
  2. Step 2: Convert to fraction form
    17,297,700/24,331,374 = 24,331,374/x
  3. Step 3: Cross multiply
    17,297,700x = 24,331,374 × 24,331,374
  4. Step 4: Simplify right side
    17,297,700x = 592,015,760,727,876
  5. Step 5: Solve for x
    x = 592,015,760,727,876/17,297,700
  6. Step 6: Final answer
    x = 34,225,114.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.