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Finding the Third Proportional to 300,178,937,249 and 457,301,847,036

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Solution

The third proportional to 300,178,937,249 and 457,301,847,036 is: 696,667,731,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,178,937,249 : 457,301,847,036 = 457,301,847,036 : x
  2. Step 2: Convert to fraction form
    300,178,937,249/457,301,847,036 = 457,301,847,036/x
  3. Step 3: Cross multiply
    300,178,937,249x = 457,301,847,036 × 457,301,847,036
  4. Step 4: Simplify right side
    300,178,937,249x = 209,124,979,302,537,157,935,104
  5. Step 5: Solve for x
    x = 209,124,979,302,537,157,935,104/300,178,937,249
  6. Step 6: Final answer
    x = 696,667,731,650.56

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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.