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Finding the Third Proportional to 5,416,808,758.50 and 10,985,925,847.50

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Solution

The third proportional to 5,416,808,758.50 and 10,985,925,847.50 is: 22,280,750,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,808,758.50 : 10,985,925,847.50 = 10,985,925,847.50 : x
  2. Step 2: Convert to fraction form
    5,416,808,758.50/10,985,925,847.50 = 10,985,925,847.50/x
  3. Step 3: Cross multiply
    5,416,808,758.50x = 10,985,925,847.50 × 10,985,925,847.50
  4. Step 4: Simplify right side
    5,416,808,758.50x = 120,690,566,726,768,590,848
  5. Step 5: Solve for x
    x = 120,690,566,726,768,590,848/5,416,808,758.50
  6. Step 6: Final answer
    x = 22,280,750,919.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.