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Finding the Third Proportional to 22,304,519 and 34,097,829

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Solution

The third proportional to 22,304,519 and 34,097,829 is: 52,126,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304,519 : 34,097,829 = 34,097,829 : x
  2. Step 2: Convert to fraction form
    22,304,519/34,097,829 = 34,097,829/x
  3. Step 3: Cross multiply
    22,304,519x = 34,097,829 × 34,097,829
  4. Step 4: Simplify right side
    22,304,519x = 1,162,661,942,513,241
  5. Step 5: Solve for x
    x = 1,162,661,942,513,241/22,304,519
  6. Step 6: Final answer
    x = 52,126,743.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.