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Finding the Third Proportional to 9,146,512 and 13,467,073

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Solution

The third proportional to 9,146,512 and 13,467,073 is: 19,828,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146,512 : 13,467,073 = 13,467,073 : x
  2. Step 2: Convert to fraction form
    9,146,512/13,467,073 = 13,467,073/x
  3. Step 3: Cross multiply
    9,146,512x = 13,467,073 × 13,467,073
  4. Step 4: Simplify right side
    9,146,512x = 181,362,055,187,329
  5. Step 5: Solve for x
    x = 181,362,055,187,329/9,146,512
  6. Step 6: Final answer
    x = 19,828,548.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.