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Finding the Third Proportional to 648,786,229.50 and 1,343,560,695

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Solution

The third proportional to 648,786,229.50 and 1,343,560,695 is: 2,782,357,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,786,229.50 : 1,343,560,695 = 1,343,560,695 : x
  2. Step 2: Convert to fraction form
    648,786,229.50/1,343,560,695 = 1,343,560,695/x
  3. Step 3: Cross multiply
    648,786,229.50x = 1,343,560,695 × 1,343,560,695
  4. Step 4: Simplify right side
    648,786,229.50x = 1,805,155,341,148,882,944
  5. Step 5: Solve for x
    x = 1,805,155,341,148,882,944/648,786,229.50
  6. Step 6: Final answer
    x = 2,782,357,668.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.