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Finding the Third Proportional to 25,994,106 and 56,322,743.25

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Solution

The third proportional to 25,994,106 and 56,322,743.25 is: 122,037,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994,106 : 56,322,743.25 = 56,322,743.25 : x
  2. Step 2: Convert to fraction form
    25,994,106/56,322,743.25 = 56,322,743.25/x
  3. Step 3: Cross multiply
    25,994,106x = 56,322,743.25 × 56,322,743.25
  4. Step 4: Simplify right side
    25,994,106x = 3,172,251,407,205,420.50
  5. Step 5: Solve for x
    x = 3,172,251,407,205,420.50/25,994,106
  6. Step 6: Final answer
    x = 122,037,334.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.