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Finding the Third Proportional to 307,856,162 and 641,186,500

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Solution

The third proportional to 307,856,162 and 641,186,500 is: 1,335,429,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856,162 : 641,186,500 = 641,186,500 : x
  2. Step 2: Convert to fraction form
    307,856,162/641,186,500 = 641,186,500/x
  3. Step 3: Cross multiply
    307,856,162x = 641,186,500 × 641,186,500
  4. Step 4: Simplify right side
    307,856,162x = 411,120,127,782,249,984
  5. Step 5: Solve for x
    x = 411,120,127,782,249,984/307,856,162
  6. Step 6: Final answer
    x = 1,335,429,263.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.