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Finding the Third Proportional to 4,921,616 and 7,704,993

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Solution

The third proportional to 4,921,616 and 7,704,993 is: 12,062,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921,616 : 7,704,993 = 7,704,993 : x
  2. Step 2: Convert to fraction form
    4,921,616/7,704,993 = 7,704,993/x
  3. Step 3: Cross multiply
    4,921,616x = 7,704,993 × 7,704,993
  4. Step 4: Simplify right side
    4,921,616x = 59,366,917,130,049
  5. Step 5: Solve for x
    x = 59,366,917,130,049/4,921,616
  6. Step 6: Final answer
    x = 12,062,484.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.