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Finding the Third Proportional to 911,823,708.75 and 2,150,333,599.50

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Solution

The third proportional to 911,823,708.75 and 2,150,333,599.50 is: 5,071,083,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,823,708.75 : 2,150,333,599.50 = 2,150,333,599.50 : x
  2. Step 2: Convert to fraction form
    911,823,708.75/2,150,333,599.50 = 2,150,333,599.50/x
  3. Step 3: Cross multiply
    911,823,708.75x = 2,150,333,599.50 × 2,150,333,599.50
  4. Step 4: Simplify right side
    911,823,708.75x = 4,623,934,589,138,626,560
  5. Step 5: Solve for x
    x = 4,623,934,589,138,626,560/911,823,708.75
  6. Step 6: Final answer
    x = 5,071,083,965.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.