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Finding the Third Proportional to 4,797,052.31 and 7,832,324.25

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Solution

The third proportional to 4,797,052.31 and 7,832,324.25 is: 12,788,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797,052.31 : 7,832,324.25 = 7,832,324.25 : x
  2. Step 2: Convert to fraction form
    4,797,052.31/7,832,324.25 = 7,832,324.25/x
  3. Step 3: Cross multiply
    4,797,052.31x = 7,832,324.25 × 7,832,324.25
  4. Step 4: Simplify right side
    4,797,052.31x = 61,345,303,157,138.06
  5. Step 5: Solve for x
    x = 61,345,303,157,138.06/4,797,052.31
  6. Step 6: Final answer
    x = 12,788,124.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.