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Finding the Third Proportional to 2,176,742 and 5,083,053

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Solution

The third proportional to 2,176,742 and 5,083,053 is: 11,869,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,742 : 5,083,053 = 5,083,053 : x
  2. Step 2: Convert to fraction form
    2,176,742/5,083,053 = 5,083,053/x
  3. Step 3: Cross multiply
    2,176,742x = 5,083,053 × 5,083,053
  4. Step 4: Simplify right side
    2,176,742x = 25,837,427,800,809
  5. Step 5: Solve for x
    x = 25,837,427,800,809/2,176,742
  6. Step 6: Final answer
    x = 11,869,770.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.