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Finding the Third Proportional to 4,004,209.50 and 9,448,312.50

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Solution

The third proportional to 4,004,209.50 and 9,448,312.50 is: 22,294,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004,209.50 : 9,448,312.50 = 9,448,312.50 : x
  2. Step 2: Convert to fraction form
    4,004,209.50/9,448,312.50 = 9,448,312.50/x
  3. Step 3: Cross multiply
    4,004,209.50x = 9,448,312.50 × 9,448,312.50
  4. Step 4: Simplify right side
    4,004,209.50x = 89,270,609,097,656.25
  5. Step 5: Solve for x
    x = 89,270,609,097,656.25/4,004,209.50
  6. Step 6: Final answer
    x = 22,294,190.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.