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Finding the Third Proportional to 7,722,566 and 11,683,491

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Solution

The third proportional to 7,722,566 and 11,683,491 is: 17,675,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722,566 : 11,683,491 = 11,683,491 : x
  2. Step 2: Convert to fraction form
    7,722,566/11,683,491 = 11,683,491/x
  3. Step 3: Cross multiply
    7,722,566x = 11,683,491 × 11,683,491
  4. Step 4: Simplify right side
    7,722,566x = 136,503,961,947,081
  5. Step 5: Solve for x
    x = 136,503,961,947,081/7,722,566
  6. Step 6: Final answer
    x = 17,675,985.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.