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Finding the Third Proportional to 332,236,623 and 715,980,012

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Solution

The third proportional to 332,236,623 and 715,980,012 is: 1,542,958,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,236,623 : 715,980,012 = 715,980,012 : x
  2. Step 2: Convert to fraction form
    332,236,623/715,980,012 = 715,980,012/x
  3. Step 3: Cross multiply
    332,236,623x = 715,980,012 × 715,980,012
  4. Step 4: Simplify right side
    332,236,623x = 512,627,377,583,520,128
  5. Step 5: Solve for x
    x = 512,627,377,583,520,128/332,236,623
  6. Step 6: Final answer
    x = 1,542,958,668.90

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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.