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Finding the Third Proportional to 667,213,823.25 and 1,389,652,006.50

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Solution

The third proportional to 667,213,823.25 and 1,389,652,006.50 is: 2,894,323,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,213,823.25 : 1,389,652,006.50 = 1,389,652,006.50 : x
  2. Step 2: Convert to fraction form
    667,213,823.25/1,389,652,006.50 = 1,389,652,006.50/x
  3. Step 3: Cross multiply
    667,213,823.25x = 1,389,652,006.50 × 1,389,652,006.50
  4. Step 4: Simplify right side
    667,213,823.25x = 1,931,132,699,169,476,096
  5. Step 5: Solve for x
    x = 1,931,132,699,169,476,096/667,213,823.25
  6. Step 6: Final answer
    x = 2,894,323,576.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.