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Finding the Third Proportional to 4,835,678.91 and 7,315,712.44

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Solution

The third proportional to 4,835,678.91 and 7,315,712.44 is: 11,067,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835,678.91 : 7,315,712.44 = 7,315,712.44 : x
  2. Step 2: Convert to fraction form
    4,835,678.91/7,315,712.44 = 7,315,712.44/x
  3. Step 3: Cross multiply
    4,835,678.91x = 7,315,712.44 × 7,315,712.44
  4. Step 4: Simplify right side
    4,835,678.91x = 53,519,648,468,192.19
  5. Step 5: Solve for x
    x = 53,519,648,468,192.19/4,835,678.91
  6. Step 6: Final answer
    x = 11,067,659.68

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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.