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Finding the Third Proportional to 7,284,546 and 15,736,212

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Solution

The third proportional to 7,284,546 and 15,736,212 is: 33,993,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,546 : 15,736,212 = 15,736,212 : x
  2. Step 2: Convert to fraction form
    7,284,546/15,736,212 = 15,736,212/x
  3. Step 3: Cross multiply
    7,284,546x = 15,736,212 × 15,736,212
  4. Step 4: Simplify right side
    7,284,546x = 247,628,368,108,944
  5. Step 5: Solve for x
    x = 247,628,368,108,944/7,284,546
  6. Step 6: Final answer
    x = 33,993,658.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.