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Finding the Third Proportional to 4,948,218 and 7,661,763

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Solution

The third proportional to 4,948,218 and 7,661,763 is: 11,863,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948,218 : 7,661,763 = 7,661,763 : x
  2. Step 2: Convert to fraction form
    4,948,218/7,661,763 = 7,661,763/x
  3. Step 3: Cross multiply
    4,948,218x = 7,661,763 × 7,661,763
  4. Step 4: Simplify right side
    4,948,218x = 58,702,612,268,169
  5. Step 5: Solve for x
    x = 58,702,612,268,169/4,948,218
  6. Step 6: Final answer
    x = 11,863,384.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.