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Finding the Third Proportional to 10,171,944 and 15,257,936.25

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Solution

The third proportional to 10,171,944 and 15,257,936.25 is: 22,886,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171,944 : 15,257,936.25 = 15,257,936.25 : x
  2. Step 2: Convert to fraction form
    10,171,944/15,257,936.25 = 15,257,936.25/x
  3. Step 3: Cross multiply
    10,171,944x = 15,257,936.25 × 15,257,936.25
  4. Step 4: Simplify right side
    10,171,944x = 232,804,618,609,064.06
  5. Step 5: Solve for x
    x = 232,804,618,609,064.06/10,171,944
  6. Step 6: Final answer
    x = 22,886,934.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.