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Finding the Third Proportional to 1,542,684,864 and 2,350,120,997.50

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Solution

The third proportional to 1,542,684,864 and 2,350,120,997.50 is: 3,580,166,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,684,864 : 2,350,120,997.50 = 2,350,120,997.50 : x
  2. Step 2: Convert to fraction form
    1,542,684,864/2,350,120,997.50 = 2,350,120,997.50/x
  3. Step 3: Cross multiply
    1,542,684,864x = 2,350,120,997.50 × 2,350,120,997.50
  4. Step 4: Simplify right side
    1,542,684,864x = 5,523,068,702,890,394,624
  5. Step 5: Solve for x
    x = 5,523,068,702,890,394,624/1,542,684,864
  6. Step 6: Final answer
    x = 3,580,166,521.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.