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Finding the Third Proportional to 600,856,400.25 and 1,266,273,040.50

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Solution

The third proportional to 600,856,400.25 and 1,266,273,040.50 is: 2,668,603,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,856,400.25 : 1,266,273,040.50 = 1,266,273,040.50 : x
  2. Step 2: Convert to fraction form
    600,856,400.25/1,266,273,040.50 = 1,266,273,040.50/x
  3. Step 3: Cross multiply
    600,856,400.25x = 1,266,273,040.50 × 1,266,273,040.50
  4. Step 4: Simplify right side
    600,856,400.25x = 1,603,447,413,097,114,624
  5. Step 5: Solve for x
    x = 1,603,447,413,097,114,624/600,856,400.25
  6. Step 6: Final answer
    x = 2,668,603,367.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.