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Finding the Third Proportional to 5,378,636 and 11,653,312

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Solution

The third proportional to 5,378,636 and 11,653,312 is: 25,247,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378,636 : 11,653,312 = 11,653,312 : x
  2. Step 2: Convert to fraction form
    5,378,636/11,653,312 = 11,653,312/x
  3. Step 3: Cross multiply
    5,378,636x = 11,653,312 × 11,653,312
  4. Step 4: Simplify right side
    5,378,636x = 135,799,680,569,344
  5. Step 5: Solve for x
    x = 135,799,680,569,344/5,378,636
  6. Step 6: Final answer
    x = 25,247,977.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.