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Finding the Third Proportional to 27,646,298 and 61,428,700

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Solution

The third proportional to 27,646,298 and 61,428,700 is: 136,491,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646,298 : 61,428,700 = 61,428,700 : x
  2. Step 2: Convert to fraction form
    27,646,298/61,428,700 = 61,428,700/x
  3. Step 3: Cross multiply
    27,646,298x = 61,428,700 × 61,428,700
  4. Step 4: Simplify right side
    27,646,298x = 3,773,485,183,690,000
  5. Step 5: Solve for x
    x = 3,773,485,183,690,000/27,646,298
  6. Step 6: Final answer
    x = 136,491,518.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.