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Finding the Third Proportional to 4,965,669 and 10,666,224

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Solution

The third proportional to 4,965,669 and 10,666,224 is: 22,910,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965,669 : 10,666,224 = 10,666,224 : x
  2. Step 2: Convert to fraction form
    4,965,669/10,666,224 = 10,666,224/x
  3. Step 3: Cross multiply
    4,965,669x = 10,666,224 × 10,666,224
  4. Step 4: Simplify right side
    4,965,669x = 113,768,334,418,176
  5. Step 5: Solve for x
    x = 113,768,334,418,176/4,965,669
  6. Step 6: Final answer
    x = 22,910,978.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.