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Finding the Third Proportional to 2,883,280 and 6,342,114

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Solution

The third proportional to 2,883,280 and 6,342,114 is: 13,950,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883,280 : 6,342,114 = 6,342,114 : x
  2. Step 2: Convert to fraction form
    2,883,280/6,342,114 = 6,342,114/x
  3. Step 3: Cross multiply
    2,883,280x = 6,342,114 × 6,342,114
  4. Step 4: Simplify right side
    2,883,280x = 40,222,409,988,996
  5. Step 5: Solve for x
    x = 40,222,409,988,996/2,883,280
  6. Step 6: Final answer
    x = 13,950,226.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.