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Finding the Third Proportional to 10,257,171.75 and 16,241,970.38

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Solution

The third proportional to 10,257,171.75 and 16,241,970.38 is: 25,718,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,171.75 : 16,241,970.38 = 16,241,970.38 : x
  2. Step 2: Convert to fraction form
    10,257,171.75/16,241,970.38 = 16,241,970.38/x
  3. Step 3: Cross multiply
    10,257,171.75x = 16,241,970.38 × 16,241,970.38
  4. Step 4: Simplify right side
    10,257,171.75x = 263,801,601,662,377.62
  5. Step 5: Solve for x
    x = 263,801,601,662,377.62/10,257,171.75
  6. Step 6: Final answer
    x = 25,718,746.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.