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Finding the Third Proportional to 6,967,470 and 14,214,876

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Solution

The third proportional to 6,967,470 and 14,214,876 is: 29,000,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967,470 : 14,214,876 = 14,214,876 : x
  2. Step 2: Convert to fraction form
    6,967,470/14,214,876 = 14,214,876/x
  3. Step 3: Cross multiply
    6,967,470x = 14,214,876 × 14,214,876
  4. Step 4: Simplify right side
    6,967,470x = 202,062,699,695,376
  5. Step 5: Solve for x
    x = 202,062,699,695,376/6,967,470
  6. Step 6: Final answer
    x = 29,000,871.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.