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Finding the Third Proportional to 2,341,275,846 and 3,365,235,162

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Solution

The third proportional to 2,341,275,846 and 3,365,235,162 is: 4,837,024,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341,275,846 : 3,365,235,162 = 3,365,235,162 : x
  2. Step 2: Convert to fraction form
    2,341,275,846/3,365,235,162 = 3,365,235,162/x
  3. Step 3: Cross multiply
    2,341,275,846x = 3,365,235,162 × 3,365,235,162
  4. Step 4: Simplify right side
    2,341,275,846x = 11,324,807,695,561,166,848
  5. Step 5: Solve for x
    x = 11,324,807,695,561,166,848/2,341,275,846
  6. Step 6: Final answer
    x = 4,837,024,101.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.