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Finding the Third Proportional to 3,514,136.06 and 5,430,474.56

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Solution

The third proportional to 3,514,136.06 and 5,430,474.56 is: 8,391,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514,136.06 : 5,430,474.56 = 5,430,474.56 : x
  2. Step 2: Convert to fraction form
    3,514,136.06/5,430,474.56 = 5,430,474.56/x
  3. Step 3: Cross multiply
    3,514,136.06x = 5,430,474.56 × 5,430,474.56
  4. Step 4: Simplify right side
    3,514,136.06x = 29,490,053,973,959.57
  5. Step 5: Solve for x
    x = 29,490,053,973,959.57/3,514,136.06
  6. Step 6: Final answer
    x = 8,391,836.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.