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Finding the Third Proportional to 8,259,907.50 and 17,715,526.50

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Solution

The third proportional to 8,259,907.50 and 17,715,526.50 is: 37,995,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259,907.50 : 17,715,526.50 = 17,715,526.50 : x
  2. Step 2: Convert to fraction form
    8,259,907.50/17,715,526.50 = 17,715,526.50/x
  3. Step 3: Cross multiply
    8,259,907.50x = 17,715,526.50 × 17,715,526.50
  4. Step 4: Simplify right side
    8,259,907.50x = 313,839,879,172,202.25
  5. Step 5: Solve for x
    x = 313,839,879,172,202.25/8,259,907.50
  6. Step 6: Final answer
    x = 37,995,568.25

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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.