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Finding the Third Proportional to 7,707,645 and 16,941,138

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Solution

The third proportional to 7,707,645 and 16,941,138 is: 37,236,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707,645 : 16,941,138 = 16,941,138 : x
  2. Step 2: Convert to fraction form
    7,707,645/16,941,138 = 16,941,138/x
  3. Step 3: Cross multiply
    7,707,645x = 16,941,138 × 16,941,138
  4. Step 4: Simplify right side
    7,707,645x = 287,002,156,735,044
  5. Step 5: Solve for x
    x = 287,002,156,735,044/7,707,645
  6. Step 6: Final answer
    x = 37,236,037.30

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Why These Related Problems?

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