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Finding the Third Proportional to 7,841,224 and 16,883,872

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Solution

The third proportional to 7,841,224 and 16,883,872 is: 36,354,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,224 : 16,883,872 = 16,883,872 : x
  2. Step 2: Convert to fraction form
    7,841,224/16,883,872 = 16,883,872/x
  3. Step 3: Cross multiply
    7,841,224x = 16,883,872 × 16,883,872
  4. Step 4: Simplify right side
    7,841,224x = 285,065,133,712,384
  5. Step 5: Solve for x
    x = 285,065,133,712,384/7,841,224
  6. Step 6: Final answer
    x = 36,354,672.91

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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.