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Finding the Third Proportional to 10,726,533 and 23,458,374

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Solution

The third proportional to 10,726,533 and 23,458,374 is: 51,302,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726,533 : 23,458,374 = 23,458,374 : x
  2. Step 2: Convert to fraction form
    10,726,533/23,458,374 = 23,458,374/x
  3. Step 3: Cross multiply
    10,726,533x = 23,458,374 × 23,458,374
  4. Step 4: Simplify right side
    10,726,533x = 550,295,310,723,876
  5. Step 5: Solve for x
    x = 550,295,310,723,876/10,726,533
  6. Step 6: Final answer
    x = 51,302,253.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.