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Finding the Third Proportional to 300,178,937,247 and 457,301,847,033

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Solution

The third proportional to 300,178,937,247 and 457,301,847,033 is: 696,667,731,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,178,937,247 : 457,301,847,033 = 457,301,847,033 : x
  2. Step 2: Convert to fraction form
    300,178,937,247/457,301,847,033 = 457,301,847,033/x
  3. Step 3: Cross multiply
    300,178,937,247x = 457,301,847,033 × 457,301,847,033
  4. Step 4: Simplify right side
    300,178,937,247x = 209,124,979,299,793,344,921,600
  5. Step 5: Solve for x
    x = 209,124,979,299,793,344,921,600/300,178,937,247
  6. Step 6: Final answer
    x = 696,667,731,646.06

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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.