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Finding the Third Proportional to 740,508,822 and 1,542,309,119

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Solution

The third proportional to 740,508,822 and 1,542,309,119 is: 3,212,274,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,508,822 : 1,542,309,119 = 1,542,309,119 : x
  2. Step 2: Convert to fraction form
    740,508,822/1,542,309,119 = 1,542,309,119/x
  3. Step 3: Cross multiply
    740,508,822x = 1,542,309,119 × 1,542,309,119
  4. Step 4: Simplify right side
    740,508,822x = 2,378,717,418,550,556,160
  5. Step 5: Solve for x
    x = 2,378,717,418,550,556,160/740,508,822
  6. Step 6: Final answer
    x = 3,212,274,246.95

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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.