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Finding the Third Proportional to 66,590,092,306 and 96,211,184,016

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Solution

The third proportional to 66,590,092,306 and 96,211,184,016 is: 139,008,546,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,590,092,306 : 96,211,184,016 = 96,211,184,016 : x
  2. Step 2: Convert to fraction form
    66,590,092,306/96,211,184,016 = 96,211,184,016/x
  3. Step 3: Cross multiply
    66,590,092,306x = 96,211,184,016 × 96,211,184,016
  4. Step 4: Simplify right side
    66,590,092,306x = 9,256,591,929,760,613,924,864
  5. Step 5: Solve for x
    x = 9,256,591,929,760,613,924,864/66,590,092,306
  6. Step 6: Final answer
    x = 139,008,546,304.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.