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Finding the Third Proportional to 2,511,418 and 5,500,574

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Solution

The third proportional to 2,511,418 and 5,500,574 is: 12,047,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511,418 : 5,500,574 = 5,500,574 : x
  2. Step 2: Convert to fraction form
    2,511,418/5,500,574 = 5,500,574/x
  3. Step 3: Cross multiply
    2,511,418x = 5,500,574 × 5,500,574
  4. Step 4: Simplify right side
    2,511,418x = 30,256,314,329,476
  5. Step 5: Solve for x
    x = 30,256,314,329,476/2,511,418
  6. Step 6: Final answer
    x = 12,047,502.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.