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Finding the Third Proportional to 347,254,507,449 and 752,211,967,419

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Solution

The third proportional to 347,254,507,449 and 752,211,967,419 is: 1,629,418,284,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,254,507,449 : 752,211,967,419 = 752,211,967,419 : x
  2. Step 2: Convert to fraction form
    347,254,507,449/752,211,967,419 = 752,211,967,419/x
  3. Step 3: Cross multiply
    347,254,507,449x = 752,211,967,419 × 752,211,967,419
  4. Step 4: Simplify right side
    347,254,507,449x = 565,822,843,928,362,686,087,168
  5. Step 5: Solve for x
    x = 565,822,843,928,362,686,087,168/347,254,507,449
  6. Step 6: Final answer
    x = 1,629,418,284,833.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.