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Finding the Third Proportional to 5,825,208 and 8,737,812.38

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Solution

The third proportional to 5,825,208 and 8,737,812.38 is: 13,106,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,208 : 8,737,812.38 = 8,737,812.38 : x
  2. Step 2: Convert to fraction form
    5,825,208/8,737,812.38 = 8,737,812.38/x
  3. Step 3: Cross multiply
    5,825,208x = 8,737,812.38 × 8,737,812.38
  4. Step 4: Simplify right side
    5,825,208x = 76,349,365,100,703.14
  5. Step 5: Solve for x
    x = 76,349,365,100,703.14/5,825,208
  6. Step 6: Final answer
    x = 13,106,719.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.