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Finding the Third Proportional to 2,380,035 and 5,232,460.50

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Solution

The third proportional to 2,380,035 and 5,232,460.50 is: 11,503,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,035 : 5,232,460.50 = 5,232,460.50 : x
  2. Step 2: Convert to fraction form
    2,380,035/5,232,460.50 = 5,232,460.50/x
  3. Step 3: Cross multiply
    2,380,035x = 5,232,460.50 × 5,232,460.50
  4. Step 4: Simplify right side
    2,380,035x = 27,378,642,884,060.25
  5. Step 5: Solve for x
    x = 27,378,642,884,060.25/2,380,035
  6. Step 6: Final answer
    x = 11,503,462.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.