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Finding the Third Proportional to 10,843,696.13 and 14,456,647.13

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Solution

The third proportional to 10,843,696.13 and 14,456,647.13 is: 19,273,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843,696.13 : 14,456,647.13 = 14,456,647.13 : x
  2. Step 2: Convert to fraction form
    10,843,696.13/14,456,647.13 = 14,456,647.13/x
  3. Step 3: Cross multiply
    10,843,696.13x = 14,456,647.13 × 14,456,647.13
  4. Step 4: Simplify right side
    10,843,696.13x = 208,994,646,096,770.75
  5. Step 5: Solve for x
    x = 208,994,646,096,770.75/10,843,696.13
  6. Step 6: Final answer
    x = 19,273,377.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.