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Finding the Third Proportional to 6,780,550 and 10,233,880

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Solution

The third proportional to 6,780,550 and 10,233,880 is: 15,445,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,550 : 10,233,880 = 10,233,880 : x
  2. Step 2: Convert to fraction form
    6,780,550/10,233,880 = 10,233,880/x
  3. Step 3: Cross multiply
    6,780,550x = 10,233,880 × 10,233,880
  4. Step 4: Simplify right side
    6,780,550x = 104,732,299,854,400
  5. Step 5: Solve for x
    x = 104,732,299,854,400/6,780,550
  6. Step 6: Final answer
    x = 15,445,988.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.