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Finding the Third Proportional to 7,656,824 and 16,823,120

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Solution

The third proportional to 7,656,824 and 16,823,120 is: 36,962,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,824 : 16,823,120 = 16,823,120 : x
  2. Step 2: Convert to fraction form
    7,656,824/16,823,120 = 16,823,120/x
  3. Step 3: Cross multiply
    7,656,824x = 16,823,120 × 16,823,120
  4. Step 4: Simplify right side
    7,656,824x = 283,017,366,534,400
  5. Step 5: Solve for x
    x = 283,017,366,534,400/7,656,824
  6. Step 6: Final answer
    x = 36,962,762.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.