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Finding the Third Proportional to 12,882,082 and 27,781,832

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Solution

The third proportional to 12,882,082 and 27,781,832 is: 59,915,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882,082 : 27,781,832 = 27,781,832 : x
  2. Step 2: Convert to fraction form
    12,882,082/27,781,832 = 27,781,832/x
  3. Step 3: Cross multiply
    12,882,082x = 27,781,832 × 27,781,832
  4. Step 4: Simplify right side
    12,882,082x = 771,830,189,276,224
  5. Step 5: Solve for x
    x = 771,830,189,276,224/12,882,082
  6. Step 6: Final answer
    x = 59,915,019.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.