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Finding the Third Proportional to 530,863,834.50 and 824,245,615.13

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Solution

The third proportional to 530,863,834.50 and 824,245,615.13 is: 1,279,764,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,863,834.50 : 824,245,615.13 = 824,245,615.13 : x
  2. Step 2: Convert to fraction form
    530,863,834.50/824,245,615.13 = 824,245,615.13/x
  3. Step 3: Cross multiply
    530,863,834.50x = 824,245,615.13 × 824,245,615.13
  4. Step 4: Simplify right side
    530,863,834.50x = 679,380,834,052,789,632
  5. Step 5: Solve for x
    x = 679,380,834,052,789,632/530,863,834.50
  6. Step 6: Final answer
    x = 1,279,764,771.87

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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.