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Finding the Third Proportional to 4,910,965 and 10,713,982

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Solution

The third proportional to 4,910,965 and 10,713,982 is: 23,374,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910,965 : 10,713,982 = 10,713,982 : x
  2. Step 2: Convert to fraction form
    4,910,965/10,713,982 = 10,713,982/x
  3. Step 3: Cross multiply
    4,910,965x = 10,713,982 × 10,713,982
  4. Step 4: Simplify right side
    4,910,965x = 114,789,410,296,324
  5. Step 5: Solve for x
    x = 114,789,410,296,324/4,910,965
  6. Step 6: Final answer
    x = 23,374,104.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.