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Finding the Third Proportional to 2,023,033.13 and 4,333,907.25

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Solution

The third proportional to 2,023,033.13 and 4,333,907.25 is: 9,284,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,033.13 : 4,333,907.25 = 4,333,907.25 : x
  2. Step 2: Convert to fraction form
    2,023,033.13/4,333,907.25 = 4,333,907.25/x
  3. Step 3: Cross multiply
    2,023,033.13x = 4,333,907.25 × 4,333,907.25
  4. Step 4: Simplify right side
    2,023,033.13x = 18,782,752,051,602.56
  5. Step 5: Solve for x
    x = 18,782,752,051,602.56/2,023,033.13
  6. Step 6: Final answer
    x = 9,284,451.06

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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.