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Finding the Third Proportional to 7,656,144 and 16,703,184

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Solution

The third proportional to 7,656,144 and 16,703,184 is: 36,440,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,144 : 16,703,184 = 16,703,184 : x
  2. Step 2: Convert to fraction form
    7,656,144/16,703,184 = 16,703,184/x
  3. Step 3: Cross multiply
    7,656,144x = 16,703,184 × 16,703,184
  4. Step 4: Simplify right side
    7,656,144x = 278,996,355,737,856
  5. Step 5: Solve for x
    x = 278,996,355,737,856/7,656,144
  6. Step 6: Final answer
    x = 36,440,844.86

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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.