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Finding the Third Proportional to 6,861,902 and 14,918,880

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Solution

The third proportional to 6,861,902 and 14,918,880 is: 32,436,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861,902 : 14,918,880 = 14,918,880 : x
  2. Step 2: Convert to fraction form
    6,861,902/14,918,880 = 14,918,880/x
  3. Step 3: Cross multiply
    6,861,902x = 14,918,880 × 14,918,880
  4. Step 4: Simplify right side
    6,861,902x = 222,572,980,454,400
  5. Step 5: Solve for x
    x = 222,572,980,454,400/6,861,902
  6. Step 6: Final answer
    x = 32,436,047.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.