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Finding the Third Proportional to 1,334,037,742 and 2,897,722,570

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Solution

The third proportional to 1,334,037,742 and 2,897,722,570 is: 6,294,271,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,037,742 : 2,897,722,570 = 2,897,722,570 : x
  2. Step 2: Convert to fraction form
    1,334,037,742/2,897,722,570 = 2,897,722,570/x
  3. Step 3: Cross multiply
    1,334,037,742x = 2,897,722,570 × 2,897,722,570
  4. Step 4: Simplify right side
    1,334,037,742x = 8,396,796,092,687,405,056
  5. Step 5: Solve for x
    x = 8,396,796,092,687,405,056/1,334,037,742
  6. Step 6: Final answer
    x = 6,294,271,764.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.