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Finding the Third Proportional to 10,778,286 and 16,279,326

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Solution

The third proportional to 10,778,286 and 16,279,326 is: 24,587,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,286 : 16,279,326 = 16,279,326 : x
  2. Step 2: Convert to fraction form
    10,778,286/16,279,326 = 16,279,326/x
  3. Step 3: Cross multiply
    10,778,286x = 16,279,326 × 16,279,326
  4. Step 4: Simplify right side
    10,778,286x = 265,016,455,014,276
  5. Step 5: Solve for x
    x = 265,016,455,014,276/10,778,286
  6. Step 6: Final answer
    x = 24,587,996.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.