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Finding the Third Proportional to 5,050,617 and 11,046,016.50

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Solution

The third proportional to 5,050,617 and 11,046,016.50 is: 24,158,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050,617 : 11,046,016.50 = 11,046,016.50 : x
  2. Step 2: Convert to fraction form
    5,050,617/11,046,016.50 = 11,046,016.50/x
  3. Step 3: Cross multiply
    5,050,617x = 11,046,016.50 × 11,046,016.50
  4. Step 4: Simplify right side
    5,050,617x = 122,014,480,518,272.25
  5. Step 5: Solve for x
    x = 122,014,480,518,272.25/5,050,617
  6. Step 6: Final answer
    x = 24,158,331.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.