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Finding the Third Proportional to 5,093,659.50 and 7,706,108.25

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Solution

The third proportional to 5,093,659.50 and 7,706,108.25 is: 11,658,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093,659.50 : 7,706,108.25 = 7,706,108.25 : x
  2. Step 2: Convert to fraction form
    5,093,659.50/7,706,108.25 = 7,706,108.25/x
  3. Step 3: Cross multiply
    5,093,659.50x = 7,706,108.25 × 7,706,108.25
  4. Step 4: Simplify right side
    5,093,659.50x = 59,384,104,360,718.06
  5. Step 5: Solve for x
    x = 59,384,104,360,718.06/5,093,659.50
  6. Step 6: Final answer
    x = 11,658,436.21

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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.