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Finding the Third Proportional to 4,287,172.50 and 9,196,001

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Solution

The third proportional to 4,287,172.50 and 9,196,001 is: 19,725,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,172.50 : 9,196,001 = 9,196,001 : x
  2. Step 2: Convert to fraction form
    4,287,172.50/9,196,001 = 9,196,001/x
  3. Step 3: Cross multiply
    4,287,172.50x = 9,196,001 × 9,196,001
  4. Step 4: Simplify right side
    4,287,172.50x = 84,566,434,392,001
  5. Step 5: Solve for x
    x = 84,566,434,392,001/4,287,172.50
  6. Step 6: Final answer
    x = 19,725,456.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.