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Finding the Third Proportional to 339,245,865 and 738,563,695

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Solution

The third proportional to 339,245,865 and 738,563,695 is: 1,607,908,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,245,865 : 738,563,695 = 738,563,695 : x
  2. Step 2: Convert to fraction form
    339,245,865/738,563,695 = 738,563,695/x
  3. Step 3: Cross multiply
    339,245,865x = 738,563,695 × 738,563,695
  4. Step 4: Simplify right side
    339,245,865x = 545,476,331,572,053,056
  5. Step 5: Solve for x
    x = 545,476,331,572,053,056/339,245,865
  6. Step 6: Final answer
    x = 1,607,908,563.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.