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Finding the Third Proportional to 7,666,138 and 16,887,774

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Solution

The third proportional to 7,666,138 and 16,887,774 is: 37,202,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,138 : 16,887,774 = 16,887,774 : x
  2. Step 2: Convert to fraction form
    7,666,138/16,887,774 = 16,887,774/x
  3. Step 3: Cross multiply
    7,666,138x = 16,887,774 × 16,887,774
  4. Step 4: Simplify right side
    7,666,138x = 285,196,910,675,076
  5. Step 5: Solve for x
    x = 285,196,910,675,076/7,666,138
  6. Step 6: Final answer
    x = 37,202,162.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.