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Finding the Third Proportional to 1,202,577,729 and 2,515,110,162

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Solution

The third proportional to 1,202,577,729 and 2,515,110,162 is: 5,260,183,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,577,729 : 2,515,110,162 = 2,515,110,162 : x
  2. Step 2: Convert to fraction form
    1,202,577,729/2,515,110,162 = 2,515,110,162/x
  3. Step 3: Cross multiply
    1,202,577,729x = 2,515,110,162 × 2,515,110,162
  4. Step 4: Simplify right side
    1,202,577,729x = 6,325,779,126,995,665,920
  5. Step 5: Solve for x
    x = 6,325,779,126,995,665,920/1,202,577,729
  6. Step 6: Final answer
    x = 5,260,183,166.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.