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Finding the Third Proportional to 34,835,314 and 73,823,642

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Solution

The third proportional to 34,835,314 and 73,823,642 is: 156,448,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,835,314 : 73,823,642 = 73,823,642 : x
  2. Step 2: Convert to fraction form
    34,835,314/73,823,642 = 73,823,642/x
  3. Step 3: Cross multiply
    34,835,314x = 73,823,642 × 73,823,642
  4. Step 4: Simplify right side
    34,835,314x = 5,449,930,118,144,164
  5. Step 5: Solve for x
    x = 5,449,930,118,144,164/34,835,314
  6. Step 6: Final answer
    x = 156,448,428.11

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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.