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Finding the Third Proportional to 1,735,520,540 and 2,643,886,227

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Solution

The third proportional to 1,735,520,540 and 2,643,886,227 is: 4,027,687,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,520,540 : 2,643,886,227 = 2,643,886,227 : x
  2. Step 2: Convert to fraction form
    1,735,520,540/2,643,886,227 = 2,643,886,227/x
  3. Step 3: Cross multiply
    1,735,520,540x = 2,643,886,227 × 2,643,886,227
  4. Step 4: Simplify right side
    1,735,520,540x = 6,990,134,381,320,295,424
  5. Step 5: Solve for x
    x = 6,990,134,381,320,295,424/1,735,520,540
  6. Step 6: Final answer
    x = 4,027,687,497.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.