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Finding the Third Proportional to 3,235,766 and 7,021,564

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Solution

The third proportional to 3,235,766 and 7,021,564 is: 15,236,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235,766 : 7,021,564 = 7,021,564 : x
  2. Step 2: Convert to fraction form
    3,235,766/7,021,564 = 7,021,564/x
  3. Step 3: Cross multiply
    3,235,766x = 7,021,564 × 7,021,564
  4. Step 4: Simplify right side
    3,235,766x = 49,302,361,006,096
  5. Step 5: Solve for x
    x = 49,302,361,006,096/3,235,766
  6. Step 6: Final answer
    x = 15,236,689.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.