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Finding the Third Proportional to 27,838,416 and 42,589,668

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Solution

The third proportional to 27,838,416 and 42,589,668 is: 65,157,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838,416 : 42,589,668 = 42,589,668 : x
  2. Step 2: Convert to fraction form
    27,838,416/42,589,668 = 42,589,668/x
  3. Step 3: Cross multiply
    27,838,416x = 42,589,668 × 42,589,668
  4. Step 4: Simplify right side
    27,838,416x = 1,813,879,820,350,224
  5. Step 5: Solve for x
    x = 1,813,879,820,350,224/27,838,416
  6. Step 6: Final answer
    x = 65,157,436.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.