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Finding the Third Proportional to 10,257,600 and 16,242,660

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Solution

The third proportional to 10,257,600 and 16,242,660 is: 25,719,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,600 : 16,242,660 = 16,242,660 : x
  2. Step 2: Convert to fraction form
    10,257,600/16,242,660 = 16,242,660/x
  3. Step 3: Cross multiply
    10,257,600x = 16,242,660 × 16,242,660
  4. Step 4: Simplify right side
    10,257,600x = 263,824,003,875,600
  5. Step 5: Solve for x
    x = 263,824,003,875,600/10,257,600
  6. Step 6: Final answer
    x = 25,719,856.87

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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.