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Finding the Third Proportional to 7,891,394 and 17,212,588

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Solution

The third proportional to 7,891,394 and 17,212,588 is: 37,543,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891,394 : 17,212,588 = 17,212,588 : x
  2. Step 2: Convert to fraction form
    7,891,394/17,212,588 = 17,212,588/x
  3. Step 3: Cross multiply
    7,891,394x = 17,212,588 × 17,212,588
  4. Step 4: Simplify right side
    7,891,394x = 296,273,185,657,744
  5. Step 5: Solve for x
    x = 296,273,185,657,744/7,891,394
  6. Step 6: Final answer
    x = 37,543,833.91

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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.