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Finding the Third Proportional to 7,652,682 and 16,650,516.38

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Solution

The third proportional to 7,652,682 and 16,650,516.38 is: 36,227,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652,682 : 16,650,516.38 = 16,650,516.38 : x
  2. Step 2: Convert to fraction form
    7,652,682/16,650,516.38 = 16,650,516.38/x
  3. Step 3: Cross multiply
    7,652,682x = 16,650,516.38 × 16,650,516.38
  4. Step 4: Simplify right side
    7,652,682x = 277,239,695,554,143.12
  5. Step 5: Solve for x
    x = 277,239,695,554,143.12/7,652,682
  6. Step 6: Final answer
    x = 36,227,782.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.