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Finding the Third Proportional to 7,717,298 and 16,763,140

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Solution

The third proportional to 7,717,298 and 16,763,140 is: 36,412,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717,298 : 16,763,140 = 16,763,140 : x
  2. Step 2: Convert to fraction form
    7,717,298/16,763,140 = 16,763,140/x
  3. Step 3: Cross multiply
    7,717,298x = 16,763,140 × 16,763,140
  4. Step 4: Simplify right side
    7,717,298x = 281,002,862,659,600
  5. Step 5: Solve for x
    x = 281,002,862,659,600/7,717,298
  6. Step 6: Final answer
    x = 36,412,078.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.