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Finding the Third Proportional to 4,932,827 and 10,762,063

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Solution

The third proportional to 4,932,827 and 10,762,063 is: 23,479,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932,827 : 10,762,063 = 10,762,063 : x
  2. Step 2: Convert to fraction form
    4,932,827/10,762,063 = 10,762,063/x
  3. Step 3: Cross multiply
    4,932,827x = 10,762,063 × 10,762,063
  4. Step 4: Simplify right side
    4,932,827x = 115,822,000,015,969
  5. Step 5: Solve for x
    x = 115,822,000,015,969/4,932,827
  6. Step 6: Final answer
    x = 23,479,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.