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Finding the Third Proportional to 1,644,199,805 and 2,375,584,783.50

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Solution

The third proportional to 1,644,199,805 and 2,375,584,783.50 is: 3,432,309,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,199,805 : 2,375,584,783.50 = 2,375,584,783.50 : x
  2. Step 2: Convert to fraction form
    1,644,199,805/2,375,584,783.50 = 2,375,584,783.50/x
  3. Step 3: Cross multiply
    1,644,199,805x = 2,375,584,783.50 × 2,375,584,783.50
  4. Step 4: Simplify right side
    1,644,199,805x = 5,643,403,063,596,741,632
  5. Step 5: Solve for x
    x = 5,643,403,063,596,741,632/1,644,199,805
  6. Step 6: Final answer
    x = 3,432,309,775.51

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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.