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Finding the Third Proportional to 2,045,750,105 and 4,410,820,197

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Solution

The third proportional to 2,045,750,105 and 4,410,820,197 is: 9,510,122,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,750,105 : 4,410,820,197 = 4,410,820,197 : x
  2. Step 2: Convert to fraction form
    2,045,750,105/4,410,820,197 = 4,410,820,197/x
  3. Step 3: Cross multiply
    2,045,750,105x = 4,410,820,197 × 4,410,820,197
  4. Step 4: Simplify right side
    2,045,750,105x = 19,455,334,810,263,117,824
  5. Step 5: Solve for x
    x = 19,455,334,810,263,117,824/2,045,750,105
  6. Step 6: Final answer
    x = 9,510,122,845.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.