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Finding the Third Proportional to 355,021,437,722 and 760,310,842,993

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Solution

The third proportional to 355,021,437,722 and 760,310,842,993 is: 1,628,275,130,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,021,437,722 : 760,310,842,993 = 760,310,842,993 : x
  2. Step 2: Convert to fraction form
    355,021,437,722/760,310,842,993 = 760,310,842,993/x
  3. Step 3: Cross multiply
    355,021,437,722x = 760,310,842,993 × 760,310,842,993
  4. Step 4: Simplify right side
    355,021,437,722x = 578,072,577,972,726,327,672,832
  5. Step 5: Solve for x
    x = 578,072,577,972,726,327,672,832/355,021,437,722
  6. Step 6: Final answer
    x = 1,628,275,130,882.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.