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Finding the Third Proportional to 10,181,170.50 and 14,241,465

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Solution

The third proportional to 10,181,170.50 and 14,241,465 is: 19,921,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,170.50 : 14,241,465 = 14,241,465 : x
  2. Step 2: Convert to fraction form
    10,181,170.50/14,241,465 = 14,241,465/x
  3. Step 3: Cross multiply
    10,181,170.50x = 14,241,465 × 14,241,465
  4. Step 4: Simplify right side
    10,181,170.50x = 202,819,325,346,225
  5. Step 5: Solve for x
    x = 202,819,325,346,225/10,181,170.50
  6. Step 6: Final answer
    x = 19,921,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.