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Finding the Third Proportional to 8,227,684 and 17,719,776

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Solution

The third proportional to 8,227,684 and 17,719,776 is: 38,162,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227,684 : 17,719,776 = 17,719,776 : x
  2. Step 2: Convert to fraction form
    8,227,684/17,719,776 = 17,719,776/x
  3. Step 3: Cross multiply
    8,227,684x = 17,719,776 × 17,719,776
  4. Step 4: Simplify right side
    8,227,684x = 313,990,461,490,176
  5. Step 5: Solve for x
    x = 313,990,461,490,176/8,227,684
  6. Step 6: Final answer
    x = 38,162,678.77

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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.