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Finding the Third Proportional to 11,164,340 and 24,039,374

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Solution

The third proportional to 11,164,340 and 24,039,374 is: 51,762,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164,340 : 24,039,374 = 24,039,374 : x
  2. Step 2: Convert to fraction form
    11,164,340/24,039,374 = 24,039,374/x
  3. Step 3: Cross multiply
    11,164,340x = 24,039,374 × 24,039,374
  4. Step 4: Simplify right side
    11,164,340x = 577,891,502,311,876
  5. Step 5: Solve for x
    x = 577,891,502,311,876/11,164,340
  6. Step 6: Final answer
    x = 51,762,262.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.