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Finding the Third Proportional to 12,134,873.25 and 25,996,919.63

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Solution

The third proportional to 12,134,873.25 and 25,996,919.63 is: 55,694,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134,873.25 : 25,996,919.63 = 25,996,919.63 : x
  2. Step 2: Convert to fraction form
    12,134,873.25/25,996,919.63 = 25,996,919.63/x
  3. Step 3: Cross multiply
    12,134,873.25x = 25,996,919.63 × 25,996,919.63
  4. Step 4: Simplify right side
    12,134,873.25x = 675,839,829,988,710.12
  5. Step 5: Solve for x
    x = 675,839,829,988,710.12/12,134,873.25
  6. Step 6: Final answer
    x = 55,694,016.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.