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Finding the Third Proportional to 40,727,367 and 87,827,706

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Solution

The third proportional to 40,727,367 and 87,827,706 is: 189,398,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,727,367 : 87,827,706 = 87,827,706 : x
  2. Step 2: Convert to fraction form
    40,727,367/87,827,706 = 87,827,706/x
  3. Step 3: Cross multiply
    40,727,367x = 87,827,706 × 87,827,706
  4. Step 4: Simplify right side
    40,727,367x = 7,713,705,941,222,436
  5. Step 5: Solve for x
    x = 7,713,705,941,222,436/40,727,367
  6. Step 6: Final answer
    x = 189,398,591.40

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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.