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Finding the Third Proportional to 5,830,123 and 12,033,675

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Solution

The third proportional to 5,830,123 and 12,033,675 is: 24,838,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,123 : 12,033,675 = 12,033,675 : x
  2. Step 2: Convert to fraction form
    5,830,123/12,033,675 = 12,033,675/x
  3. Step 3: Cross multiply
    5,830,123x = 12,033,675 × 12,033,675
  4. Step 4: Simplify right side
    5,830,123x = 144,809,334,005,625
  5. Step 5: Solve for x
    x = 144,809,334,005,625/5,830,123
  6. Step 6: Final answer
    x = 24,838,126.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.