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Finding the Third Proportional to 1,244,063,829 and 2,672,752,869

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Solution

The third proportional to 1,244,063,829 and 2,672,752,869 is: 5,742,155,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,063,829 : 2,672,752,869 = 2,672,752,869 : x
  2. Step 2: Convert to fraction form
    1,244,063,829/2,672,752,869 = 2,672,752,869/x
  3. Step 3: Cross multiply
    1,244,063,829x = 2,672,752,869 × 2,672,752,869
  4. Step 4: Simplify right side
    1,244,063,829x = 7,143,607,898,747,730,944
  5. Step 5: Solve for x
    x = 7,143,607,898,747,730,944/1,244,063,829
  6. Step 6: Final answer
    x = 5,742,155,452.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.