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Finding the Third Proportional to 5,006,573 and 10,278,557.38

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Solution

The third proportional to 5,006,573 and 10,278,557.38 is: 21,102,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006,573 : 10,278,557.38 = 10,278,557.38 : x
  2. Step 2: Convert to fraction form
    5,006,573/10,278,557.38 = 10,278,557.38/x
  3. Step 3: Cross multiply
    5,006,573x = 10,278,557.38 × 10,278,557.38
  4. Step 4: Simplify right side
    5,006,573x = 105,648,741,711,166.89
  5. Step 5: Solve for x
    x = 105,648,741,711,166.89/5,006,573
  6. Step 6: Final answer
    x = 21,102,007.64

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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.