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Finding the Third Proportional to 6,478,042 and 14,176,436

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Solution

The third proportional to 6,478,042 and 14,176,436 is: 31,023,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,042 : 14,176,436 = 14,176,436 : x
  2. Step 2: Convert to fraction form
    6,478,042/14,176,436 = 14,176,436/x
  3. Step 3: Cross multiply
    6,478,042x = 14,176,436 × 14,176,436
  4. Step 4: Simplify right side
    6,478,042x = 200,971,337,662,096
  5. Step 5: Solve for x
    x = 200,971,337,662,096/6,478,042
  6. Step 6: Final answer
    x = 31,023,469.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.