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Finding the Third Proportional to 10,627,866 and 16,919,251

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Solution

The third proportional to 10,627,866 and 16,919,251 is: 26,934,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627,866 : 16,919,251 = 16,919,251 : x
  2. Step 2: Convert to fraction form
    10,627,866/16,919,251 = 16,919,251/x
  3. Step 3: Cross multiply
    10,627,866x = 16,919,251 × 16,919,251
  4. Step 4: Simplify right side
    10,627,866x = 286,261,054,401,001
  5. Step 5: Solve for x
    x = 286,261,054,401,001/10,627,866
  6. Step 6: Final answer
    x = 26,934,951.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.