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Finding the Third Proportional to 1,539,692,323 and 2,224,589,997

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Solution

The third proportional to 1,539,692,323 and 2,224,589,997 is: 3,214,149,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,692,323 : 2,224,589,997 = 2,224,589,997 : x
  2. Step 2: Convert to fraction form
    1,539,692,323/2,224,589,997 = 2,224,589,997/x
  3. Step 3: Cross multiply
    1,539,692,323x = 2,224,589,997 × 2,224,589,997
  4. Step 4: Simplify right side
    1,539,692,323x = 4,948,800,654,752,459,776
  5. Step 5: Solve for x
    x = 4,948,800,654,752,459,776/1,539,692,323
  6. Step 6: Final answer
    x = 3,214,149,074.35

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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.