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Finding the Third Proportional to 1,167,573,706.50 and 2,538,375,765

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Solution

The third proportional to 1,167,573,706.50 and 2,538,375,765 is: 5,518,582,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,573,706.50 : 2,538,375,765 = 2,538,375,765 : x
  2. Step 2: Convert to fraction form
    1,167,573,706.50/2,538,375,765 = 2,538,375,765/x
  3. Step 3: Cross multiply
    1,167,573,706.50x = 2,538,375,765 × 2,538,375,765
  4. Step 4: Simplify right side
    1,167,573,706.50x = 6,443,351,524,339,335,168
  5. Step 5: Solve for x
    x = 6,443,351,524,339,335,168/1,167,573,706.50
  6. Step 6: Final answer
    x = 5,518,582,243.22

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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.