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Finding the Third Proportional to 20,055,985 and 31,003,994

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Solution

The third proportional to 20,055,985 and 31,003,994 is: 47,928,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055,985 : 31,003,994 = 31,003,994 : x
  2. Step 2: Convert to fraction form
    20,055,985/31,003,994 = 31,003,994/x
  3. Step 3: Cross multiply
    20,055,985x = 31,003,994 × 31,003,994
  4. Step 4: Simplify right side
    20,055,985x = 961,247,643,952,036
  5. Step 5: Solve for x
    x = 961,247,643,952,036/20,055,985
  6. Step 6: Final answer
    x = 47,928,219.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.