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Finding the Third Proportional to 340,731,728 and 741,162,832

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Solution

The third proportional to 340,731,728 and 741,162,832 is: 1,612,184,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,731,728 : 741,162,832 = 741,162,832 : x
  2. Step 2: Convert to fraction form
    340,731,728/741,162,832 = 741,162,832/x
  3. Step 3: Cross multiply
    340,731,728x = 741,162,832 × 741,162,832
  4. Step 4: Simplify right side
    340,731,728x = 549,322,343,538,260,224
  5. Step 5: Solve for x
    x = 549,322,343,538,260,224/340,731,728
  6. Step 6: Final answer
    x = 1,612,184,303.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.