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Finding the Third Proportional to 5,052,823 and 7,766,627

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Solution

The third proportional to 5,052,823 and 7,766,627 is: 11,937,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052,823 : 7,766,627 = 7,766,627 : x
  2. Step 2: Convert to fraction form
    5,052,823/7,766,627 = 7,766,627/x
  3. Step 3: Cross multiply
    5,052,823x = 7,766,627 × 7,766,627
  4. Step 4: Simplify right side
    5,052,823x = 60,320,494,957,129
  5. Step 5: Solve for x
    x = 60,320,494,957,129/5,052,823
  6. Step 6: Final answer
    x = 11,937,979.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.