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Finding the Third Proportional to 9,398,533.50 and 14,954,914.13

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Solution

The third proportional to 9,398,533.50 and 14,954,914.13 is: 23,796,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398,533.50 : 14,954,914.13 = 14,954,914.13 : x
  2. Step 2: Convert to fraction form
    9,398,533.50/14,954,914.13 = 14,954,914.13/x
  3. Step 3: Cross multiply
    9,398,533.50x = 14,954,914.13 × 14,954,914.13
  4. Step 4: Simplify right side
    9,398,533.50x = 223,649,456,486,124.50
  5. Step 5: Solve for x
    x = 223,649,456,486,124.50/9,398,533.50
  6. Step 6: Final answer
    x = 23,796,207.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.