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Finding the Third Proportional to 7,894,323 and 17,006,805

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Solution

The third proportional to 7,894,323 and 17,006,805 is: 36,637,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894,323 : 17,006,805 = 17,006,805 : x
  2. Step 2: Convert to fraction form
    7,894,323/17,006,805 = 17,006,805/x
  3. Step 3: Cross multiply
    7,894,323x = 17,006,805 × 17,006,805
  4. Step 4: Simplify right side
    7,894,323x = 289,231,416,308,025
  5. Step 5: Solve for x
    x = 289,231,416,308,025/7,894,323
  6. Step 6: Final answer
    x = 36,637,899.96

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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.