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Finding the Third Proportional to 44,233,499,838 and 97,483,195,848

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Solution

The third proportional to 44,233,499,838 and 97,483,195,848 is: 214,836,571,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,233,499,838 : 97,483,195,848 = 97,483,195,848 : x
  2. Step 2: Convert to fraction form
    44,233,499,838/97,483,195,848 = 97,483,195,848/x
  3. Step 3: Cross multiply
    44,233,499,838x = 97,483,195,848 × 97,483,195,848
  4. Step 4: Simplify right side
    44,233,499,838x = 9,502,973,472,739,524,870,144
  5. Step 5: Solve for x
    x = 9,502,973,472,739,524,870,144/44,233,499,838
  6. Step 6: Final answer
    x = 214,836,571,999.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.