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Finding the Third Proportional to 2,428,116.75 and 5,055,387.19

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Solution

The third proportional to 2,428,116.75 and 5,055,387.19 is: 10,525,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,116.75 : 5,055,387.19 = 5,055,387.19 : x
  2. Step 2: Convert to fraction form
    2,428,116.75/5,055,387.19 = 5,055,387.19/x
  3. Step 3: Cross multiply
    2,428,116.75x = 5,055,387.19 × 5,055,387.19
  4. Step 4: Simplify right side
    2,428,116.75x = 25,556,939,615,539.16
  5. Step 5: Solve for x
    x = 25,556,939,615,539.16/2,428,116.75
  6. Step 6: Final answer
    x = 10,525,416.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.