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Finding the Third Proportional to 30,489,050,652 and 66,043,263,288

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Solution

The third proportional to 30,489,050,652 and 66,043,263,288 is: 143,058,328,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489,050,652 : 66,043,263,288 = 66,043,263,288 : x
  2. Step 2: Convert to fraction form
    30,489,050,652/66,043,263,288 = 66,043,263,288/x
  3. Step 3: Cross multiply
    30,489,050,652x = 66,043,263,288 × 66,043,263,288
  4. Step 4: Simplify right side
    30,489,050,652x = 4,361,712,625,728,088,440,832
  5. Step 5: Solve for x
    x = 4,361,712,625,728,088,440,832/30,489,050,652
  6. Step 6: Final answer
    x = 143,058,328,562.36

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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.