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Finding the Third Proportional to 306,987,003 and 472,337,446.50

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Solution

The third proportional to 306,987,003 and 472,337,446.50 is: 726,749,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,987,003 : 472,337,446.50 = 472,337,446.50 : x
  2. Step 2: Convert to fraction form
    306,987,003/472,337,446.50 = 472,337,446.50/x
  3. Step 3: Cross multiply
    306,987,003x = 472,337,446.50 × 472,337,446.50
  4. Step 4: Simplify right side
    306,987,003x = 223,102,663,366,140,352
  5. Step 5: Solve for x
    x = 223,102,663,366,140,352/306,987,003
  6. Step 6: Final answer
    x = 726,749,540.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.