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Finding the Third Proportional to 4,314,820.50 and 7,190,505.50

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Solution

The third proportional to 4,314,820.50 and 7,190,505.50 is: 11,982,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,820.50 : 7,190,505.50 = 7,190,505.50 : x
  2. Step 2: Convert to fraction form
    4,314,820.50/7,190,505.50 = 7,190,505.50/x
  3. Step 3: Cross multiply
    4,314,820.50x = 7,190,505.50 × 7,190,505.50
  4. Step 4: Simplify right side
    4,314,820.50x = 51,703,369,345,530.25
  5. Step 5: Solve for x
    x = 51,703,369,345,530.25/4,314,820.50
  6. Step 6: Final answer
    x = 11,982,739.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.