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Finding the Third Proportional to 1,644,199,810 and 2,375,584,790.50

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Solution

The third proportional to 1,644,199,810 and 2,375,584,790.50 is: 3,432,309,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,199,810 : 2,375,584,790.50 = 2,375,584,790.50 : x
  2. Step 2: Convert to fraction form
    1,644,199,810/2,375,584,790.50 = 2,375,584,790.50/x
  3. Step 3: Cross multiply
    1,644,199,810x = 2,375,584,790.50 × 2,375,584,790.50
  4. Step 4: Simplify right side
    1,644,199,810x = 5,643,403,096,854,928,384
  5. Step 5: Solve for x
    x = 5,643,403,096,854,928,384/1,644,199,810
  6. Step 6: Final answer
    x = 3,432,309,785.30

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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.