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Finding the Third Proportional to 3,877,722 and 6,137,334

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Solution

The third proportional to 3,877,722 and 6,137,334 is: 9,713,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877,722 : 6,137,334 = 6,137,334 : x
  2. Step 2: Convert to fraction form
    3,877,722/6,137,334 = 6,137,334/x
  3. Step 3: Cross multiply
    3,877,722x = 6,137,334 × 6,137,334
  4. Step 4: Simplify right side
    3,877,722x = 37,666,868,627,556
  5. Step 5: Solve for x
    x = 37,666,868,627,556/3,877,722
  6. Step 6: Final answer
    x = 9,713,658.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.