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Finding the Third Proportional to 310,785,369.75 and 466,063,932.38

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Solution

The third proportional to 310,785,369.75 and 466,063,932.38 is: 698,924,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785,369.75 : 466,063,932.38 = 466,063,932.38 : x
  2. Step 2: Convert to fraction form
    310,785,369.75/466,063,932.38 = 466,063,932.38/x
  3. Step 3: Cross multiply
    310,785,369.75x = 466,063,932.38 × 466,063,932.38
  4. Step 4: Simplify right side
    310,785,369.75x = 217,215,589,060,848,576
  5. Step 5: Solve for x
    x = 217,215,589,060,848,576/310,785,369.75
  6. Step 6: Final answer
    x = 698,924,757.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.