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Finding the Third Proportional to 11,611,784 and 24,607,904

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Solution

The third proportional to 11,611,784 and 24,607,904 is: 52,149,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611,784 : 24,607,904 = 24,607,904 : x
  2. Step 2: Convert to fraction form
    11,611,784/24,607,904 = 24,607,904/x
  3. Step 3: Cross multiply
    11,611,784x = 24,607,904 × 24,607,904
  4. Step 4: Simplify right side
    11,611,784x = 605,548,939,273,216
  5. Step 5: Solve for x
    x = 605,548,939,273,216/11,611,784
  6. Step 6: Final answer
    x = 52,149,518.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.