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Finding the Third Proportional to 5,240,301 and 11,458,144.50

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Solution

The third proportional to 5,240,301 and 11,458,144.50 is: 25,053,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,301 : 11,458,144.50 = 11,458,144.50 : x
  2. Step 2: Convert to fraction form
    5,240,301/11,458,144.50 = 11,458,144.50/x
  3. Step 3: Cross multiply
    5,240,301x = 11,458,144.50 × 11,458,144.50
  4. Step 4: Simplify right side
    5,240,301x = 131,289,075,382,880.25
  5. Step 5: Solve for x
    x = 131,289,075,382,880.25/5,240,301
  6. Step 6: Final answer
    x = 25,053,727.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.