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Finding the Third Proportional to 740,508,921 and 1,542,309,327

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Solution

The third proportional to 740,508,921 and 1,542,309,327 is: 3,212,274,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,508,921 : 1,542,309,327 = 1,542,309,327 : x
  2. Step 2: Convert to fraction form
    740,508,921/1,542,309,327 = 1,542,309,327/x
  3. Step 3: Cross multiply
    740,508,921x = 1,542,309,327 × 1,542,309,327
  4. Step 4: Simplify right side
    740,508,921x = 2,378,718,060,151,193,088
  5. Step 5: Solve for x
    x = 2,378,718,060,151,193,088/740,508,921
  6. Step 6: Final answer
    x = 3,212,274,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.