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Finding the Third Proportional to 1,229,584,460 and 2,634,898,742

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Solution

The third proportional to 1,229,584,460 and 2,634,898,742 is: 5,646,372,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,584,460 : 2,634,898,742 = 2,634,898,742 : x
  2. Step 2: Convert to fraction form
    1,229,584,460/2,634,898,742 = 2,634,898,742/x
  3. Step 3: Cross multiply
    1,229,584,460x = 2,634,898,742 × 2,634,898,742
  4. Step 4: Simplify right side
    1,229,584,460x = 6,942,691,380,593,182,720
  5. Step 5: Solve for x
    x = 6,942,691,380,593,182,720/1,229,584,460
  6. Step 6: Final answer
    x = 5,646,372,092.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.