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Finding the Third Proportional to 9,146,508 and 13,467,069

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Solution

The third proportional to 9,146,508 and 13,467,069 is: 19,828,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146,508 : 13,467,069 = 13,467,069 : x
  2. Step 2: Convert to fraction form
    9,146,508/13,467,069 = 13,467,069/x
  3. Step 3: Cross multiply
    9,146,508x = 13,467,069 × 13,467,069
  4. Step 4: Simplify right side
    9,146,508x = 181,361,947,450,761
  5. Step 5: Solve for x
    x = 181,361,947,450,761/9,146,508
  6. Step 6: Final answer
    x = 19,828,545.22

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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.