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Finding the Third Proportional to 12,299,827 and 27,010,001

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Solution

The third proportional to 12,299,827 and 27,010,001 is: 59,313,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299,827 : 27,010,001 = 27,010,001 : x
  2. Step 2: Convert to fraction form
    12,299,827/27,010,001 = 27,010,001/x
  3. Step 3: Cross multiply
    12,299,827x = 27,010,001 × 27,010,001
  4. Step 4: Simplify right side
    12,299,827x = 729,540,154,020,001
  5. Step 5: Solve for x
    x = 729,540,154,020,001/12,299,827
  6. Step 6: Final answer
    x = 59,313,041.88

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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.