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Finding the Third Proportional to 10,067,802 and 15,102,783

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Solution

The third proportional to 10,067,802 and 15,102,783 is: 22,655,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067,802 : 15,102,783 = 15,102,783 : x
  2. Step 2: Convert to fraction form
    10,067,802/15,102,783 = 15,102,783/x
  3. Step 3: Cross multiply
    10,067,802x = 15,102,783 × 15,102,783
  4. Step 4: Simplify right side
    10,067,802x = 228,094,054,345,089
  5. Step 5: Solve for x
    x = 228,094,054,345,089/10,067,802
  6. Step 6: Final answer
    x = 22,655,794.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.