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Finding the Third Proportional to 20,994,293.25 and 46,024,216.50

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Solution

The third proportional to 20,994,293.25 and 46,024,216.50 is: 100,895,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994,293.25 : 46,024,216.50 = 46,024,216.50 : x
  2. Step 2: Convert to fraction form
    20,994,293.25/46,024,216.50 = 46,024,216.50/x
  3. Step 3: Cross multiply
    20,994,293.25x = 46,024,216.50 × 46,024,216.50
  4. Step 4: Simplify right side
    20,994,293.25x = 2,118,228,504,438,872.25
  5. Step 5: Solve for x
    x = 2,118,228,504,438,872.25/20,994,293.25
  6. Step 6: Final answer
    x = 100,895,442.36

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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.