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Finding the Third Proportional to 66,022,460,332 and 143,008,027,741

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Solution

The third proportional to 66,022,460,332 and 143,008,027,741 is: 309,762,706,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,022,460,332 : 143,008,027,741 = 143,008,027,741 : x
  2. Step 2: Convert to fraction form
    66,022,460,332/143,008,027,741 = 143,008,027,741/x
  3. Step 3: Cross multiply
    66,022,460,332x = 143,008,027,741 × 143,008,027,741
  4. Step 4: Simplify right side
    66,022,460,332x = 20,451,295,998,370,627,190,784
  5. Step 5: Solve for x
    x = 20,451,295,998,370,627,190,784/66,022,460,332
  6. Step 6: Final answer
    x = 309,762,706,441.56

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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.