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Finding the Third Proportional to 3,879,977.63 and 5,873,644.13

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Solution

The third proportional to 3,879,977.63 and 5,873,644.13 is: 8,891,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,977.63 : 5,873,644.13 = 5,873,644.13 : x
  2. Step 2: Convert to fraction form
    3,879,977.63/5,873,644.13 = 5,873,644.13/x
  3. Step 3: Cross multiply
    3,879,977.63x = 5,873,644.13 × 5,873,644.13
  4. Step 4: Simplify right side
    3,879,977.63x = 34,499,695,307,147.02
  5. Step 5: Solve for x
    x = 34,499,695,307,147.02/3,879,977.63
  6. Step 6: Final answer
    x = 8,891,725.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.