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Finding the Third Proportional to 10,013,146.50 and 20,557,119

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Solution

The third proportional to 10,013,146.50 and 20,557,119 is: 42,204,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,146.50 : 20,557,119 = 20,557,119 : x
  2. Step 2: Convert to fraction form
    10,013,146.50/20,557,119 = 20,557,119/x
  3. Step 3: Cross multiply
    10,013,146.50x = 20,557,119 × 20,557,119
  4. Step 4: Simplify right side
    10,013,146.50x = 422,595,141,580,161
  5. Step 5: Solve for x
    x = 422,595,141,580,161/10,013,146.50
  6. Step 6: Final answer
    x = 42,204,030.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.