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Finding the Third Proportional to 4,935,777 and 11,005,827

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Solution

The third proportional to 4,935,777 and 11,005,827 is: 24,540,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935,777 : 11,005,827 = 11,005,827 : x
  2. Step 2: Convert to fraction form
    4,935,777/11,005,827 = 11,005,827/x
  3. Step 3: Cross multiply
    4,935,777x = 11,005,827 × 11,005,827
  4. Step 4: Simplify right side
    4,935,777x = 121,128,227,953,929
  5. Step 5: Solve for x
    x = 121,128,227,953,929/4,935,777
  6. Step 6: Final answer
    x = 24,540,863.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.