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Finding the Third Proportional to 9,844,669.13 and 14,902,815.38

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Solution

The third proportional to 9,844,669.13 and 14,902,815.38 is: 22,559,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844,669.13 : 14,902,815.38 = 14,902,815.38 : x
  2. Step 2: Convert to fraction form
    9,844,669.13/14,902,815.38 = 14,902,815.38/x
  3. Step 3: Cross multiply
    9,844,669.13x = 14,902,815.38 × 14,902,815.38
  4. Step 4: Simplify right side
    9,844,669.13x = 222,093,906,101,336.38
  5. Step 5: Solve for x
    x = 222,093,906,101,336.38/9,844,669.13
  6. Step 6: Final answer
    x = 22,559,814.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.