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Finding the Third Proportional to 9,049,869 and 12,658,997

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Solution

The third proportional to 9,049,869 and 12,658,997 is: 17,707,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049,869 : 12,658,997 = 12,658,997 : x
  2. Step 2: Convert to fraction form
    9,049,869/12,658,997 = 12,658,997/x
  3. Step 3: Cross multiply
    9,049,869x = 12,658,997 × 12,658,997
  4. Step 4: Simplify right side
    9,049,869x = 160,250,205,046,009
  5. Step 5: Solve for x
    x = 160,250,205,046,009/9,049,869
  6. Step 6: Final answer
    x = 17,707,461.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.