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Finding the Third Proportional to 1,817,065,468 and 3,944,245,439

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Solution

The third proportional to 1,817,065,468 and 3,944,245,439 is: 8,561,646,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,065,468 : 3,944,245,439 = 3,944,245,439 : x
  2. Step 2: Convert to fraction form
    1,817,065,468/3,944,245,439 = 3,944,245,439/x
  3. Step 3: Cross multiply
    1,817,065,468x = 3,944,245,439 × 3,944,245,439
  4. Step 4: Simplify right side
    1,817,065,468x = 15,557,072,083,072,303,104
  5. Step 5: Solve for x
    x = 15,557,072,083,072,303,104/1,817,065,468
  6. Step 6: Final answer
    x = 8,561,646,433.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.