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Finding the Third Proportional to 2,706,633 and 5,636,466

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Solution

The third proportional to 2,706,633 and 5,636,466 is: 11,737,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,633 : 5,636,466 = 5,636,466 : x
  2. Step 2: Convert to fraction form
    2,706,633/5,636,466 = 5,636,466/x
  3. Step 3: Cross multiply
    2,706,633x = 5,636,466 × 5,636,466
  4. Step 4: Simplify right side
    2,706,633x = 31,769,748,969,156
  5. Step 5: Solve for x
    x = 31,769,748,969,156/2,706,633
  6. Step 6: Final answer
    x = 11,737,737.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.