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Finding the Third Proportional to 1,261,780,080 and 2,745,744,001

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Solution

The third proportional to 1,261,780,080 and 2,745,744,001 is: 5,974,979,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,780,080 : 2,745,744,001 = 2,745,744,001 : x
  2. Step 2: Convert to fraction form
    1,261,780,080/2,745,744,001 = 2,745,744,001/x
  3. Step 3: Cross multiply
    1,261,780,080x = 2,745,744,001 × 2,745,744,001
  4. Step 4: Simplify right side
    1,261,780,080x = 7,539,110,119,027,487,744
  5. Step 5: Solve for x
    x = 7,539,110,119,027,487,744/1,261,780,080
  6. Step 6: Final answer
    x = 5,974,979,505.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.