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Finding the Third Proportional to 23,427,812 and 47,997,226

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Solution

The third proportional to 23,427,812 and 47,997,226 is: 98,333,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427,812 : 47,997,226 = 47,997,226 : x
  2. Step 2: Convert to fraction form
    23,427,812/47,997,226 = 47,997,226/x
  3. Step 3: Cross multiply
    23,427,812x = 47,997,226 × 47,997,226
  4. Step 4: Simplify right side
    23,427,812x = 2,303,733,703,695,076
  5. Step 5: Solve for x
    x = 2,303,733,703,695,076/23,427,812
  6. Step 6: Final answer
    x = 98,333,284.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.