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Finding the Third Proportional to 5,846,218 and 9,183,763

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Solution

The third proportional to 5,846,218 and 9,183,763 is: 14,426,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,218 : 9,183,763 = 9,183,763 : x
  2. Step 2: Convert to fraction form
    5,846,218/9,183,763 = 9,183,763/x
  3. Step 3: Cross multiply
    5,846,218x = 9,183,763 × 9,183,763
  4. Step 4: Simplify right side
    5,846,218x = 84,341,502,840,169
  5. Step 5: Solve for x
    x = 84,341,502,840,169/5,846,218
  6. Step 6: Final answer
    x = 14,426,677.70

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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.