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Finding the Third Proportional to 44,233,499,744 and 97,483,195,712

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Solution

The third proportional to 44,233,499,744 and 97,483,195,712 is: 214,836,571,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,233,499,744 : 97,483,195,712 = 97,483,195,712 : x
  2. Step 2: Convert to fraction form
    44,233,499,744/97,483,195,712 = 97,483,195,712/x
  3. Step 3: Cross multiply
    44,233,499,744x = 97,483,195,712 × 97,483,195,712
  4. Step 4: Simplify right side
    44,233,499,744x = 9,502,973,446,224,095,477,760
  5. Step 5: Solve for x
    x = 9,502,973,446,224,095,477,760/44,233,499,744
  6. Step 6: Final answer
    x = 214,836,571,856.68

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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.