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Finding the Third Proportional to 530,863,861.50 and 824,245,652.25

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Solution

The third proportional to 530,863,861.50 and 824,245,652.25 is: 1,279,764,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,863,861.50 : 824,245,652.25 = 824,245,652.25 : x
  2. Step 2: Convert to fraction form
    530,863,861.50/824,245,652.25 = 824,245,652.25/x
  3. Step 3: Cross multiply
    530,863,861.50x = 824,245,652.25 × 824,245,652.25
  4. Step 4: Simplify right side
    530,863,861.50x = 679,380,895,253,027,968
  5. Step 5: Solve for x
    x = 679,380,895,253,027,968/530,863,861.50
  6. Step 6: Final answer
    x = 1,279,764,822.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.