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Finding the Third Proportional to 1,445,246,253.50 and 2,299,670,906

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Solution

The third proportional to 1,445,246,253.50 and 2,299,670,906 is: 3,659,228,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,246,253.50 : 2,299,670,906 = 2,299,670,906 : x
  2. Step 2: Convert to fraction form
    1,445,246,253.50/2,299,670,906 = 2,299,670,906/x
  3. Step 3: Cross multiply
    1,445,246,253.50x = 2,299,670,906 × 2,299,670,906
  4. Step 4: Simplify right side
    1,445,246,253.50x = 5,288,486,275,902,861,312
  5. Step 5: Solve for x
    x = 5,288,486,275,902,861,312/1,445,246,253.50
  6. Step 6: Final answer
    x = 3,659,228,496.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.