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Finding the Third Proportional to 9,146,516 and 13,467,081

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Solution

The third proportional to 9,146,516 and 13,467,081 is: 19,828,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146,516 : 13,467,081 = 13,467,081 : x
  2. Step 2: Convert to fraction form
    9,146,516/13,467,081 = 13,467,081/x
  3. Step 3: Cross multiply
    9,146,516x = 13,467,081 × 13,467,081
  4. Step 4: Simplify right side
    9,146,516x = 181,362,270,660,561
  5. Step 5: Solve for x
    x = 181,362,270,660,561/9,146,516
  6. Step 6: Final answer
    x = 19,828,563.21

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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.