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Finding the Third Proportional to 3,801,402 and 8,272,014

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Solution

The third proportional to 3,801,402 and 8,272,014 is: 18,000,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801,402 : 8,272,014 = 8,272,014 : x
  2. Step 2: Convert to fraction form
    3,801,402/8,272,014 = 8,272,014/x
  3. Step 3: Cross multiply
    3,801,402x = 8,272,014 × 8,272,014
  4. Step 4: Simplify right side
    3,801,402x = 68,426,215,616,196
  5. Step 5: Solve for x
    x = 68,426,215,616,196/3,801,402
  6. Step 6: Final answer
    x = 18,000,257.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.