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Finding the Third Proportional to 6,047,640,997.50 and 8,408,761,400.25

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Solution

The third proportional to 6,047,640,997.50 and 8,408,761,400.25 is: 11,691,710,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047,640,997.50 : 8,408,761,400.25 = 8,408,761,400.25 : x
  2. Step 2: Convert to fraction form
    6,047,640,997.50/8,408,761,400.25 = 8,408,761,400.25/x
  3. Step 3: Cross multiply
    6,047,640,997.50x = 8,408,761,400.25 × 8,408,761,400.25
  4. Step 4: Simplify right side
    6,047,640,997.50x = 70,707,268,286,334,337,024
  5. Step 5: Solve for x
    x = 70,707,268,286,334,337,024/6,047,640,997.50
  6. Step 6: Final answer
    x = 11,691,710,588.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.