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Finding the Third Proportional to 27,838,424 and 42,589,680

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Solution

The third proportional to 27,838,424 and 42,589,680 is: 65,157,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838,424 : 42,589,680 = 42,589,680 : x
  2. Step 2: Convert to fraction form
    27,838,424/42,589,680 = 42,589,680/x
  3. Step 3: Cross multiply
    27,838,424x = 42,589,680 × 42,589,680
  4. Step 4: Simplify right side
    27,838,424x = 1,813,880,842,502,400
  5. Step 5: Solve for x
    x = 1,813,880,842,502,400/27,838,424
  6. Step 6: Final answer
    x = 65,157,454.41

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