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Finding the Third Proportional to 12,215,116 and 25,434,997

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Solution

The third proportional to 12,215,116 and 25,434,997 is: 52,962,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215,116 : 25,434,997 = 25,434,997 : x
  2. Step 2: Convert to fraction form
    12,215,116/25,434,997 = 25,434,997/x
  3. Step 3: Cross multiply
    12,215,116x = 25,434,997 × 25,434,997
  4. Step 4: Simplify right side
    12,215,116x = 646,939,072,390,009
  5. Step 5: Solve for x
    x = 646,939,072,390,009/12,215,116
  6. Step 6: Final answer
    x = 52,962,171.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.