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Finding the Third Proportional to 7,883,636 and 16,997,824

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Solution

The third proportional to 7,883,636 and 16,997,824 is: 36,648,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,636 : 16,997,824 = 16,997,824 : x
  2. Step 2: Convert to fraction form
    7,883,636/16,997,824 = 16,997,824/x
  3. Step 3: Cross multiply
    7,883,636x = 16,997,824 × 16,997,824
  4. Step 4: Simplify right side
    7,883,636x = 288,926,020,734,976
  5. Step 5: Solve for x
    x = 288,926,020,734,976/7,883,636
  6. Step 6: Final answer
    x = 36,648,828.12

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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.