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Finding the Third Proportional to 8,237,715.19 and 17,715,136.64

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Solution

The third proportional to 8,237,715.19 and 17,715,136.64 is: 38,096,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,715.19 : 17,715,136.64 = 17,715,136.64 : x
  2. Step 2: Convert to fraction form
    8,237,715.19/17,715,136.64 = 17,715,136.64/x
  3. Step 3: Cross multiply
    8,237,715.19x = 17,715,136.64 × 17,715,136.64
  4. Step 4: Simplify right side
    8,237,715.19x = 313,826,066,196,014.44
  5. Step 5: Solve for x
    x = 313,826,066,196,014.44/8,237,715.19
  6. Step 6: Final answer
    x = 38,096,251.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.