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Finding the Third Proportional to 27,838,302 and 42,589,485

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Solution

The third proportional to 27,838,302 and 42,589,485 is: 65,157,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838,302 : 42,589,485 = 42,589,485 : x
  2. Step 2: Convert to fraction form
    27,838,302/42,589,485 = 42,589,485/x
  3. Step 3: Cross multiply
    27,838,302x = 42,589,485 × 42,589,485
  4. Step 4: Simplify right side
    27,838,302x = 1,813,864,232,565,225
  5. Step 5: Solve for x
    x = 1,813,864,232,565,225/27,838,302
  6. Step 6: Final answer
    x = 65,157,143.30

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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.