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Finding the Third Proportional to 1,644,199,809 and 2,375,584,789

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Solution

The third proportional to 1,644,199,809 and 2,375,584,789 is: 3,432,309,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,199,809 : 2,375,584,789 = 2,375,584,789 : x
  2. Step 2: Convert to fraction form
    1,644,199,809/2,375,584,789 = 2,375,584,789/x
  3. Step 3: Cross multiply
    1,644,199,809x = 2,375,584,789 × 2,375,584,789
  4. Step 4: Simplify right side
    1,644,199,809x = 5,643,403,089,728,174,080
  5. Step 5: Solve for x
    x = 5,643,403,089,728,174,080/1,644,199,809
  6. Step 6: Final answer
    x = 3,432,309,783.06

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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.