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Finding the Third Proportional to 10,257,163 and 16,241,955

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Solution

The third proportional to 10,257,163 and 16,241,955 is: 25,718,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,163 : 16,241,955 = 16,241,955 : x
  2. Step 2: Convert to fraction form
    10,257,163/16,241,955 = 16,241,955/x
  3. Step 3: Cross multiply
    10,257,163x = 16,241,955 × 16,241,955
  4. Step 4: Simplify right side
    10,257,163x = 263,801,102,222,025
  5. Step 5: Solve for x
    x = 263,801,102,222,025/10,257,163
  6. Step 6: Final answer
    x = 25,718,719.91

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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.