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Finding the Third Proportional to 17,673,263,242 and 27,441,110,415

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Solution

The third proportional to 17,673,263,242 and 27,441,110,415 is: 42,607,555,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673,263,242 : 27,441,110,415 = 27,441,110,415 : x
  2. Step 2: Convert to fraction form
    17,673,263,242/27,441,110,415 = 27,441,110,415/x
  3. Step 3: Cross multiply
    17,673,263,242x = 27,441,110,415 × 27,441,110,415
  4. Step 4: Simplify right side
    17,673,263,242x = 753,014,540,808,221,491,200
  5. Step 5: Solve for x
    x = 753,014,540,808,221,491,200/17,673,263,242
  6. Step 6: Final answer
    x = 42,607,555,293.96

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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.