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Finding the Third Proportional to 11,344,002 and 24,892,140

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Solution

The third proportional to 11,344,002 and 24,892,140 is: 54,620,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344,002 : 24,892,140 = 24,892,140 : x
  2. Step 2: Convert to fraction form
    11,344,002/24,892,140 = 24,892,140/x
  3. Step 3: Cross multiply
    11,344,002x = 24,892,140 × 24,892,140
  4. Step 4: Simplify right side
    11,344,002x = 619,618,633,779,600
  5. Step 5: Solve for x
    x = 619,618,633,779,600/11,344,002
  6. Step 6: Final answer
    x = 54,620,814.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.