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Finding the Third Proportional to 34,193,822 and 69,782,944

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Solution

The third proportional to 34,193,822 and 69,782,944 is: 142,413,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193,822 : 69,782,944 = 69,782,944 : x
  2. Step 2: Convert to fraction form
    34,193,822/69,782,944 = 69,782,944/x
  3. Step 3: Cross multiply
    34,193,822x = 69,782,944 × 69,782,944
  4. Step 4: Simplify right side
    34,193,822x = 4,869,659,273,307,136
  5. Step 5: Solve for x
    x = 4,869,659,273,307,136/34,193,822
  6. Step 6: Final answer
    x = 142,413,424.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.