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Finding the Third Proportional to 13,865,746 and 21,638,025

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Solution

The third proportional to 13,865,746 and 21,638,025 is: 33,766,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865,746 : 21,638,025 = 21,638,025 : x
  2. Step 2: Convert to fraction form
    13,865,746/21,638,025 = 21,638,025/x
  3. Step 3: Cross multiply
    13,865,746x = 21,638,025 × 21,638,025
  4. Step 4: Simplify right side
    13,865,746x = 468,204,125,900,625
  5. Step 5: Solve for x
    x = 468,204,125,900,625/13,865,746
  6. Step 6: Final answer
    x = 33,766,962.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.