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Finding the Third Proportional to 2,237,187.50 and 4,847,623

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Solution

The third proportional to 2,237,187.50 and 4,847,623 is: 10,504,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,187.50 : 4,847,623 = 4,847,623 : x
  2. Step 2: Convert to fraction form
    2,237,187.50/4,847,623 = 4,847,623/x
  3. Step 3: Cross multiply
    2,237,187.50x = 4,847,623 × 4,847,623
  4. Step 4: Simplify right side
    2,237,187.50x = 23,499,448,750,129
  5. Step 5: Solve for x
    x = 23,499,448,750,129/2,237,187.50
  6. Step 6: Final answer
    x = 10,504,013.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.