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Finding the Third Proportional to 313,905,945.38 and 733,192,578

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Solution

The third proportional to 313,905,945.38 and 733,192,578 is: 1,712,523,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905,945.38 : 733,192,578 = 733,192,578 : x
  2. Step 2: Convert to fraction form
    313,905,945.38/733,192,578 = 733,192,578/x
  3. Step 3: Cross multiply
    313,905,945.38x = 733,192,578 × 733,192,578
  4. Step 4: Simplify right side
    313,905,945.38x = 537,571,356,434,286,080
  5. Step 5: Solve for x
    x = 537,571,356,434,286,080/313,905,945.38
  6. Step 6: Final answer
    x = 1,712,523,653.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.