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Finding the Third Proportional to 5,093,658 and 7,706,107

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Solution

The third proportional to 5,093,658 and 7,706,107 is: 11,658,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093,658 : 7,706,107 = 7,706,107 : x
  2. Step 2: Convert to fraction form
    5,093,658/7,706,107 = 7,706,107/x
  3. Step 3: Cross multiply
    5,093,658x = 7,706,107 × 7,706,107
  4. Step 4: Simplify right side
    5,093,658x = 59,384,085,095,449
  5. Step 5: Solve for x
    x = 59,384,085,095,449/5,093,658
  6. Step 6: Final answer
    x = 11,658,435.86

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