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Finding the Third Proportional to 5,980,365 and 8,968,600.13

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Solution

The third proportional to 5,980,365 and 8,968,600.13 is: 13,449,979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980,365 : 8,968,600.13 = 8,968,600.13 : x
  2. Step 2: Convert to fraction form
    5,980,365/8,968,600.13 = 8,968,600.13/x
  3. Step 3: Cross multiply
    5,980,365x = 8,968,600.13 × 8,968,600.13
  4. Step 4: Simplify right side
    5,980,365x = 80,435,788,202,150.02
  5. Step 5: Solve for x
    x = 80,435,788,202,150.02/5,980,365
  6. Step 6: Final answer
    x = 13,449,979.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.