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Finding the Third Proportional to 324,846,612 and 701,468,140.50

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Solution

The third proportional to 324,846,612 and 701,468,140.50 is: 1,514,738,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,846,612 : 701,468,140.50 = 701,468,140.50 : x
  2. Step 2: Convert to fraction form
    324,846,612/701,468,140.50 = 701,468,140.50/x
  3. Step 3: Cross multiply
    324,846,612x = 701,468,140.50 × 701,468,140.50
  4. Step 4: Simplify right side
    324,846,612x = 492,057,552,136,527,744
  5. Step 5: Solve for x
    x = 492,057,552,136,527,744/324,846,612
  6. Step 6: Final answer
    x = 1,514,738,137.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.