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Finding the Third Proportional to 300,178,937,251 and 457,301,847,039

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Solution

The third proportional to 300,178,937,251 and 457,301,847,039 is: 696,667,731,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,178,937,251 : 457,301,847,039 = 457,301,847,039 : x
  2. Step 2: Convert to fraction form
    300,178,937,251/457,301,847,039 = 457,301,847,039/x
  3. Step 3: Cross multiply
    300,178,937,251x = 457,301,847,039 × 457,301,847,039
  4. Step 4: Simplify right side
    300,178,937,251x = 209,124,979,305,280,937,394,176
  5. Step 5: Solve for x
    x = 209,124,979,305,280,937,394,176/300,178,937,251
  6. Step 6: Final answer
    x = 696,667,731,655.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.