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Finding the Third Proportional to 471,823,996,278 and 1,039,820,751,852

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Solution

The third proportional to 471,823,996,278 and 1,039,820,751,852 is: 2,291,590,093,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,823,996,278 : 1,039,820,751,852 = 1,039,820,751,852 : x
  2. Step 2: Convert to fraction form
    471,823,996,278/1,039,820,751,852 = 1,039,820,751,852/x
  3. Step 3: Cross multiply
    471,823,996,278x = 1,039,820,751,852 × 1,039,820,751,852
  4. Step 4: Simplify right side
    471,823,996,278x = 1,081,227,195,982,058,591,617,024
  5. Step 5: Solve for x
    x = 1,081,227,195,982,058,591,617,024/471,823,996,278
  6. Step 6: Final answer
    x = 2,291,590,093,999.79

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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.