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Finding the Third Proportional to 7,827,036 and 10,815,204

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Solution

The third proportional to 7,827,036 and 10,815,204 is: 14,944,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,036 : 10,815,204 = 10,815,204 : x
  2. Step 2: Convert to fraction form
    7,827,036/10,815,204 = 10,815,204/x
  3. Step 3: Cross multiply
    7,827,036x = 10,815,204 × 10,815,204
  4. Step 4: Simplify right side
    7,827,036x = 116,968,637,561,616
  5. Step 5: Solve for x
    x = 116,968,637,561,616/7,827,036
  6. Step 6: Final answer
    x = 14,944,180.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.