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Finding the Third Proportional to 1,167,573,706 and 2,538,375,764

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Solution

The third proportional to 1,167,573,706 and 2,538,375,764 is: 5,518,582,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,573,706 : 2,538,375,764 = 2,538,375,764 : x
  2. Step 2: Convert to fraction form
    1,167,573,706/2,538,375,764 = 2,538,375,764/x
  3. Step 3: Cross multiply
    1,167,573,706x = 2,538,375,764 × 2,538,375,764
  4. Step 4: Simplify right side
    1,167,573,706x = 6,443,351,519,262,583,808
  5. Step 5: Solve for x
    x = 6,443,351,519,262,583,808/1,167,573,706
  6. Step 6: Final answer
    x = 5,518,582,241.23

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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.