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Finding the Third Proportional to 6,766,734 and 10,493,697

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Solution

The third proportional to 6,766,734 and 10,493,697 is: 16,273,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,734 : 10,493,697 = 10,493,697 : x
  2. Step 2: Convert to fraction form
    6,766,734/10,493,697 = 10,493,697/x
  3. Step 3: Cross multiply
    6,766,734x = 10,493,697 × 10,493,697
  4. Step 4: Simplify right side
    6,766,734x = 110,117,676,727,809
  5. Step 5: Solve for x
    x = 110,117,676,727,809/6,766,734
  6. Step 6: Final answer
    x = 16,273,386.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.