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Finding the Third Proportional to 6,425,223 and 13,970,172

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Solution

The third proportional to 6,425,223 and 13,970,172 is: 30,374,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,223 : 13,970,172 = 13,970,172 : x
  2. Step 2: Convert to fraction form
    6,425,223/13,970,172 = 13,970,172/x
  3. Step 3: Cross multiply
    6,425,223x = 13,970,172 × 13,970,172
  4. Step 4: Simplify right side
    6,425,223x = 195,165,705,709,584
  5. Step 5: Solve for x
    x = 195,165,705,709,584/6,425,223
  6. Step 6: Final answer
    x = 30,374,931.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.