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Finding the Third Proportional to 4,967,296 and 10,864,464

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Solution

The third proportional to 4,967,296 and 10,864,464 is: 23,762,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967,296 : 10,864,464 = 10,864,464 : x
  2. Step 2: Convert to fraction form
    4,967,296/10,864,464 = 10,864,464/x
  3. Step 3: Cross multiply
    4,967,296x = 10,864,464 × 10,864,464
  4. Step 4: Simplify right side
    4,967,296x = 118,036,578,007,296
  5. Step 5: Solve for x
    x = 118,036,578,007,296/4,967,296
  6. Step 6: Final answer
    x = 23,762,742.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.