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Finding the Third Proportional to 2,618,934 and 5,638,332

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Solution

The third proportional to 2,618,934 and 5,638,332 is: 12,138,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618,934 : 5,638,332 = 5,638,332 : x
  2. Step 2: Convert to fraction form
    2,618,934/5,638,332 = 5,638,332/x
  3. Step 3: Cross multiply
    2,618,934x = 5,638,332 × 5,638,332
  4. Step 4: Simplify right side
    2,618,934x = 31,790,787,742,224
  5. Step 5: Solve for x
    x = 31,790,787,742,224/2,618,934
  6. Step 6: Final answer
    x = 12,138,827.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.