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Finding the Third Proportional to 34,835,310 and 73,823,634

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Solution

The third proportional to 34,835,310 and 73,823,634 is: 156,448,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,835,310 : 73,823,634 = 73,823,634 : x
  2. Step 2: Convert to fraction form
    34,835,310/73,823,634 = 73,823,634/x
  3. Step 3: Cross multiply
    34,835,310x = 73,823,634 × 73,823,634
  4. Step 4: Simplify right side
    34,835,310x = 5,449,928,936,965,956
  5. Step 5: Solve for x
    x = 5,449,928,936,965,956/34,835,310
  6. Step 6: Final answer
    x = 156,448,412.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.