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Finding the Third Proportional to 66,590,092,308 and 96,211,184,019

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Solution

The third proportional to 66,590,092,308 and 96,211,184,019 is: 139,008,546,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,590,092,308 : 96,211,184,019 = 96,211,184,019 : x
  2. Step 2: Convert to fraction form
    66,590,092,308/96,211,184,019 = 96,211,184,019/x
  3. Step 3: Cross multiply
    66,590,092,308x = 96,211,184,019 × 96,211,184,019
  4. Step 4: Simplify right side
    66,590,092,308x = 9,256,591,930,337,881,227,264
  5. Step 5: Solve for x
    x = 9,256,591,930,337,881,227,264/66,590,092,308
  6. Step 6: Final answer
    x = 139,008,546,309.31

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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.