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Finding the Third Proportional to 323,427,532.92 and 703,522,916.02

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Solution

The third proportional to 323,427,532.92 and 703,522,916.02 is: 1,530,310,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,427,532.92 : 703,522,916.02 = 703,522,916.02 : x
  2. Step 2: Convert to fraction form
    323,427,532.92/703,522,916.02 = 703,522,916.02/x
  3. Step 3: Cross multiply
    323,427,532.92x = 703,522,916.02 × 703,522,916.02
  4. Step 4: Simplify right side
    323,427,532.92x = 494,944,493,359,092,928
  5. Step 5: Solve for x
    x = 494,944,493,359,092,928/323,427,532.92
  6. Step 6: Final answer
    x = 1,530,310,326.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.