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Finding the Third Proportional to 20,240,086 and 31,090,991

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Solution

The third proportional to 20,240,086 and 31,090,991 is: 47,759,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240,086 : 31,090,991 = 31,090,991 : x
  2. Step 2: Convert to fraction form
    20,240,086/31,090,991 = 31,090,991/x
  3. Step 3: Cross multiply
    20,240,086x = 31,090,991 × 31,090,991
  4. Step 4: Simplify right side
    20,240,086x = 966,649,721,362,081
  5. Step 5: Solve for x
    x = 966,649,721,362,081/20,240,086
  6. Step 6: Final answer
    x = 47,759,170.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.