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Finding the Third Proportional to 7,693,576 and 16,663,856

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Solution

The third proportional to 7,693,576 and 16,663,856 is: 36,092,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,576 : 16,663,856 = 16,663,856 : x
  2. Step 2: Convert to fraction form
    7,693,576/16,663,856 = 16,663,856/x
  3. Step 3: Cross multiply
    7,693,576x = 16,663,856 × 16,663,856
  4. Step 4: Simplify right side
    7,693,576x = 277,684,096,788,736
  5. Step 5: Solve for x
    x = 277,684,096,788,736/7,693,576
  6. Step 6: Final answer
    x = 36,092,981.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.