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Finding the Third Proportional to 11,703,768 and 25,029,916

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Solution

The third proportional to 11,703,768 and 25,029,916 is: 53,529,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703,768 : 25,029,916 = 25,029,916 : x
  2. Step 2: Convert to fraction form
    11,703,768/25,029,916 = 25,029,916/x
  3. Step 3: Cross multiply
    11,703,768x = 25,029,916 × 25,029,916
  4. Step 4: Simplify right side
    11,703,768x = 626,496,694,967,056
  5. Step 5: Solve for x
    x = 626,496,694,967,056/11,703,768
  6. Step 6: Final answer
    x = 53,529,486.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.