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Finding the Third Proportional to 1,675,471,959 and 2,699,631,645.75

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Solution

The third proportional to 1,675,471,959 and 2,699,631,645.75 is: 4,349,825,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,471,959 : 2,699,631,645.75 = 2,699,631,645.75 : x
  2. Step 2: Convert to fraction form
    1,675,471,959/2,699,631,645.75 = 2,699,631,645.75/x
  3. Step 3: Cross multiply
    1,675,471,959x = 2,699,631,645.75 × 2,699,631,645.75
  4. Step 4: Simplify right side
    1,675,471,959x = 7,288,011,022,734,853,120
  5. Step 5: Solve for x
    x = 7,288,011,022,734,853,120/1,675,471,959
  6. Step 6: Final answer
    x = 4,349,825,721.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.