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Finding the Third Proportional to 4,794,214 and 10,299,913

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Solution

The third proportional to 4,794,214 and 10,299,913 is: 22,128,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794,214 : 10,299,913 = 10,299,913 : x
  2. Step 2: Convert to fraction form
    4,794,214/10,299,913 = 10,299,913/x
  3. Step 3: Cross multiply
    4,794,214x = 10,299,913 × 10,299,913
  4. Step 4: Simplify right side
    4,794,214x = 106,088,207,807,569
  5. Step 5: Solve for x
    x = 106,088,207,807,569/4,794,214
  6. Step 6: Final answer
    x = 22,128,383.88

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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.