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Finding the Third Proportional to 7,836,352.50 and 18,438,464.50

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Solution

The third proportional to 7,836,352.50 and 18,438,464.50 is: 43,384,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,352.50 : 18,438,464.50 = 18,438,464.50 : x
  2. Step 2: Convert to fraction form
    7,836,352.50/18,438,464.50 = 18,438,464.50/x
  3. Step 3: Cross multiply
    7,836,352.50x = 18,438,464.50 × 18,438,464.50
  4. Step 4: Simplify right side
    7,836,352.50x = 339,976,973,117,760.25
  5. Step 5: Solve for x
    x = 339,976,973,117,760.25/7,836,352.50
  6. Step 6: Final answer
    x = 43,384,594.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.