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Finding the Third Proportional to 7,447,066 and 11,578,753

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Solution

The third proportional to 7,447,066 and 11,578,753 is: 18,002,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,066 : 11,578,753 = 11,578,753 : x
  2. Step 2: Convert to fraction form
    7,447,066/11,578,753 = 11,578,753/x
  3. Step 3: Cross multiply
    7,447,066x = 11,578,753 × 11,578,753
  4. Step 4: Simplify right side
    7,447,066x = 134,067,521,035,009
  5. Step 5: Solve for x
    x = 134,067,521,035,009/7,447,066
  6. Step 6: Final answer
    x = 18,002,730.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.