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Finding the Third Proportional to 63,444,847,242.09 and 95,984,593,906.22

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Solution

The third proportional to 63,444,847,242.09 and 95,984,593,906.22 is: 145,213,404,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,444,847,242.09 : 95,984,593,906.22 = 95,984,593,906.22 : x
  2. Step 2: Convert to fraction form
    63,444,847,242.09/95,984,593,906.22 = 95,984,593,906.22/x
  3. Step 3: Cross multiply
    63,444,847,242.09x = 95,984,593,906.22 × 95,984,593,906.22
  4. Step 4: Simplify right side
    63,444,847,242.09x = 9,213,042,267,341,005,520,896
  5. Step 5: Solve for x
    x = 9,213,042,267,341,005,520,896/63,444,847,242.09
  6. Step 6: Final answer
    x = 145,213,404,521.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.