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Finding the Third Proportional to 2,502,036 and 5,358,366

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Solution

The third proportional to 2,502,036 and 5,358,366 is: 11,475,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502,036 : 5,358,366 = 5,358,366 : x
  2. Step 2: Convert to fraction form
    2,502,036/5,358,366 = 5,358,366/x
  3. Step 3: Cross multiply
    2,502,036x = 5,358,366 × 5,358,366
  4. Step 4: Simplify right side
    2,502,036x = 28,712,086,189,956
  5. Step 5: Solve for x
    x = 28,712,086,189,956/2,502,036
  6. Step 6: Final answer
    x = 11,475,488.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.