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Finding the Third Proportional to 3,407,925.50 and 7,294,668.50

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Solution

The third proportional to 3,407,925.50 and 7,294,668.50 is: 15,614,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,925.50 : 7,294,668.50 = 7,294,668.50 : x
  2. Step 2: Convert to fraction form
    3,407,925.50/7,294,668.50 = 7,294,668.50/x
  3. Step 3: Cross multiply
    3,407,925.50x = 7,294,668.50 × 7,294,668.50
  4. Step 4: Simplify right side
    3,407,925.50x = 53,212,188,524,892.25
  5. Step 5: Solve for x
    x = 53,212,188,524,892.25/3,407,925.50
  6. Step 6: Final answer
    x = 15,614,246.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.