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Finding the Third Proportional to 2,502,042 and 5,358,378

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Solution

The third proportional to 2,502,042 and 5,358,378 is: 11,475,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502,042 : 5,358,378 = 5,358,378 : x
  2. Step 2: Convert to fraction form
    2,502,042/5,358,378 = 5,358,378/x
  3. Step 3: Cross multiply
    2,502,042x = 5,358,378 × 5,358,378
  4. Step 4: Simplify right side
    2,502,042x = 28,712,214,790,884
  5. Step 5: Solve for x
    x = 28,712,214,790,884/2,502,042
  6. Step 6: Final answer
    x = 11,475,512.72

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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.