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Finding the Third Proportional to 1,049,729,842 and 2,255,242,974

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Solution

The third proportional to 1,049,729,842 and 2,255,242,974 is: 4,845,171,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,729,842 : 2,255,242,974 = 2,255,242,974 : x
  2. Step 2: Convert to fraction form
    1,049,729,842/2,255,242,974 = 2,255,242,974/x
  3. Step 3: Cross multiply
    1,049,729,842x = 2,255,242,974 × 2,255,242,974
  4. Step 4: Simplify right side
    1,049,729,842x = 5,086,120,871,776,364,544
  5. Step 5: Solve for x
    x = 5,086,120,871,776,364,544/1,049,729,842
  6. Step 6: Final answer
    x = 4,845,171,270.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.