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Finding the Third Proportional to 66,022,460,336 and 143,008,027,750

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Solution

The third proportional to 66,022,460,336 and 143,008,027,750 is: 309,762,706,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,022,460,336 : 143,008,027,750 = 143,008,027,750 : x
  2. Step 2: Convert to fraction form
    66,022,460,336/143,008,027,750 = 143,008,027,750/x
  3. Step 3: Cross multiply
    66,022,460,336x = 143,008,027,750 × 143,008,027,750
  4. Step 4: Simplify right side
    66,022,460,336x = 20,451,296,000,944,768,024,576
  5. Step 5: Solve for x
    x = 20,451,296,000,944,768,024,576/66,022,460,336
  6. Step 6: Final answer
    x = 309,762,706,461.78

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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.