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Finding the Third Proportional to 3,413,208 and 7,312,188

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Solution

The third proportional to 3,413,208 and 7,312,188 is: 15,665,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,208 : 7,312,188 = 7,312,188 : x
  2. Step 2: Convert to fraction form
    3,413,208/7,312,188 = 7,312,188/x
  3. Step 3: Cross multiply
    3,413,208x = 7,312,188 × 7,312,188
  4. Step 4: Simplify right side
    3,413,208x = 53,468,093,347,344
  5. Step 5: Solve for x
    x = 53,468,093,347,344/3,413,208
  6. Step 6: Final answer
    x = 15,665,055.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.