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Finding the Third Proportional to 11,645,685 and 24,496,101

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Solution

The third proportional to 11,645,685 and 24,496,101 is: 51,526,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645,685 : 24,496,101 = 24,496,101 : x
  2. Step 2: Convert to fraction form
    11,645,685/24,496,101 = 24,496,101/x
  3. Step 3: Cross multiply
    11,645,685x = 24,496,101 × 24,496,101
  4. Step 4: Simplify right side
    11,645,685x = 600,058,964,202,201
  5. Step 5: Solve for x
    x = 600,058,964,202,201/11,645,685
  6. Step 6: Final answer
    x = 51,526,291.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.