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Finding the Third Proportional to 11,446,485 and 24,257,658

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Solution

The third proportional to 11,446,485 and 24,257,658 is: 51,407,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446,485 : 24,257,658 = 24,257,658 : x
  2. Step 2: Convert to fraction form
    11,446,485/24,257,658 = 24,257,658/x
  3. Step 3: Cross multiply
    11,446,485x = 24,257,658 × 24,257,658
  4. Step 4: Simplify right side
    11,446,485x = 588,433,971,644,964
  5. Step 5: Solve for x
    x = 588,433,971,644,964/11,446,485
  6. Step 6: Final answer
    x = 51,407,394.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.