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Finding the Third Proportional to 1,539,692,282 and 2,224,589,943

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Solution

The third proportional to 1,539,692,282 and 2,224,589,943 is: 3,214,149,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,692,282 : 2,224,589,943 = 2,224,589,943 : x
  2. Step 2: Convert to fraction form
    1,539,692,282/2,224,589,943 = 2,224,589,943/x
  3. Step 3: Cross multiply
    1,539,692,282x = 2,224,589,943 × 2,224,589,943
  4. Step 4: Simplify right side
    1,539,692,282x = 4,948,800,414,496,743,424
  5. Step 5: Solve for x
    x = 4,948,800,414,496,743,424/1,539,692,282
  6. Step 6: Final answer
    x = 3,214,149,003.90

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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.