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Finding the Third Proportional to 14,770,416 and 21,676,374

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Solution

The third proportional to 14,770,416 and 21,676,374 is: 31,811,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770,416 : 21,676,374 = 21,676,374 : x
  2. Step 2: Convert to fraction form
    14,770,416/21,676,374 = 21,676,374/x
  3. Step 3: Cross multiply
    14,770,416x = 21,676,374 × 21,676,374
  4. Step 4: Simplify right side
    14,770,416x = 469,865,189,787,876
  5. Step 5: Solve for x
    x = 469,865,189,787,876/14,770,416
  6. Step 6: Final answer
    x = 31,811,236.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.