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Finding the Third Proportional to 13,919,196 and 21,294,816

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Solution

The third proportional to 13,919,196 and 21,294,816 is: 32,578,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919,196 : 21,294,816 = 21,294,816 : x
  2. Step 2: Convert to fraction form
    13,919,196/21,294,816 = 21,294,816/x
  3. Step 3: Cross multiply
    13,919,196x = 21,294,816 × 21,294,816
  4. Step 4: Simplify right side
    13,919,196x = 453,469,188,473,856
  5. Step 5: Solve for x
    x = 453,469,188,473,856/13,919,196
  6. Step 6: Final answer
    x = 32,578,691.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.