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Finding the Third Proportional to 12,442,836.94 and 25,878,936.38

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Solution

The third proportional to 12,442,836.94 and 25,878,936.38 is: 53,823,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442,836.94 : 25,878,936.38 = 25,878,936.38 : x
  2. Step 2: Convert to fraction form
    12,442,836.94/25,878,936.38 = 25,878,936.38/x
  3. Step 3: Cross multiply
    12,442,836.94x = 25,878,936.38 × 25,878,936.38
  4. Step 4: Simplify right side
    12,442,836.94x = 669,719,347,901,298.12
  5. Step 5: Solve for x
    x = 669,719,347,901,298.12/12,442,836.94
  6. Step 6: Final answer
    x = 53,823,685.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.