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Finding the Third Proportional to 3,433,954.50 and 7,150,533.19

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Solution

The third proportional to 3,433,954.50 and 7,150,533.19 is: 14,889,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,954.50 : 7,150,533.19 = 7,150,533.19 : x
  2. Step 2: Convert to fraction form
    3,433,954.50/7,150,533.19 = 7,150,533.19/x
  3. Step 3: Cross multiply
    3,433,954.50x = 7,150,533.19 × 7,150,533.19
  4. Step 4: Simplify right side
    3,433,954.50x = 51,130,124,865,538.91
  5. Step 5: Solve for x
    x = 51,130,124,865,538.91/3,433,954.50
  6. Step 6: Final answer
    x = 14,889,575.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.