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Finding the Third Proportional to 2,236,662,213.75 and 3,335,597,242.88

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Solution

The third proportional to 2,236,662,213.75 and 3,335,597,242.88 is: 4,974,469,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236,662,213.75 : 3,335,597,242.88 = 3,335,597,242.88 : x
  2. Step 2: Convert to fraction form
    2,236,662,213.75/3,335,597,242.88 = 3,335,597,242.88/x
  3. Step 3: Cross multiply
    2,236,662,213.75x = 3,335,597,242.88 × 3,335,597,242.88
  4. Step 4: Simplify right side
    2,236,662,213.75x = 11,126,208,966,675,302,400
  5. Step 5: Solve for x
    x = 11,126,208,966,675,302,400/2,236,662,213.75
  6. Step 6: Final answer
    x = 4,974,469,948.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.