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Finding the Third Proportional to 5,052,181.50 and 7,729,830

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Solution

The third proportional to 5,052,181.50 and 7,729,830 is: 11,826,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052,181.50 : 7,729,830 = 7,729,830 : x
  2. Step 2: Convert to fraction form
    5,052,181.50/7,729,830 = 7,729,830/x
  3. Step 3: Cross multiply
    5,052,181.50x = 7,729,830 × 7,729,830
  4. Step 4: Simplify right side
    5,052,181.50x = 59,750,271,828,900
  5. Step 5: Solve for x
    x = 59,750,271,828,900/5,052,181.50
  6. Step 6: Final answer
    x = 11,826,628.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.