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Finding the Third Proportional to 3,486,375 and 7,532,946

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Solution

The third proportional to 3,486,375 and 7,532,946 is: 16,276,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486,375 : 7,532,946 = 7,532,946 : x
  2. Step 2: Convert to fraction form
    3,486,375/7,532,946 = 7,532,946/x
  3. Step 3: Cross multiply
    3,486,375x = 7,532,946 × 7,532,946
  4. Step 4: Simplify right side
    3,486,375x = 56,745,275,438,916
  5. Step 5: Solve for x
    x = 56,745,275,438,916/3,486,375
  6. Step 6: Final answer
    x = 16,276,297.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.