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Finding the Third Proportional to 4,897,678.50 and 11,436,876

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Solution

The third proportional to 4,897,678.50 and 11,436,876 is: 26,706,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,678.50 : 11,436,876 = 11,436,876 : x
  2. Step 2: Convert to fraction form
    4,897,678.50/11,436,876 = 11,436,876/x
  3. Step 3: Cross multiply
    4,897,678.50x = 11,436,876 × 11,436,876
  4. Step 4: Simplify right side
    4,897,678.50x = 130,802,132,639,376
  5. Step 5: Solve for x
    x = 130,802,132,639,376/4,897,678.50
  6. Step 6: Final answer
    x = 26,706,965.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.