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Finding the Third Proportional to 6,873,816 and 10,100,196

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Solution

The third proportional to 6,873,816 and 10,100,196 is: 14,840,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873,816 : 10,100,196 = 10,100,196 : x
  2. Step 2: Convert to fraction form
    6,873,816/10,100,196 = 10,100,196/x
  3. Step 3: Cross multiply
    6,873,816x = 10,100,196 × 10,100,196
  4. Step 4: Simplify right side
    6,873,816x = 102,013,959,238,416
  5. Step 5: Solve for x
    x = 102,013,959,238,416/6,873,816
  6. Step 6: Final answer
    x = 14,840,949.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.