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Finding the Third Proportional to 7,673,976 and 16,577,532

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Solution

The third proportional to 7,673,976 and 16,577,532 is: 35,811,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673,976 : 16,577,532 = 16,577,532 : x
  2. Step 2: Convert to fraction form
    7,673,976/16,577,532 = 16,577,532/x
  3. Step 3: Cross multiply
    7,673,976x = 16,577,532 × 16,577,532
  4. Step 4: Simplify right side
    7,673,976x = 274,814,567,211,024
  5. Step 5: Solve for x
    x = 274,814,567,211,024/7,673,976
  6. Step 6: Final answer
    x = 35,811,236.21

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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.