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Finding the Third Proportional to 6,612,539.50 and 10,213,462.50

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Solution

The third proportional to 6,612,539.50 and 10,213,462.50 is: 15,775,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612,539.50 : 10,213,462.50 = 10,213,462.50 : x
  2. Step 2: Convert to fraction form
    6,612,539.50/10,213,462.50 = 10,213,462.50/x
  3. Step 3: Cross multiply
    6,612,539.50x = 10,213,462.50 × 10,213,462.50
  4. Step 4: Simplify right side
    6,612,539.50x = 104,314,816,238,906.25
  5. Step 5: Solve for x
    x = 104,314,816,238,906.25/6,612,539.50
  6. Step 6: Final answer
    x = 15,775,303.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.