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Finding the Third Proportional to 6,257,402 and 15,069,467

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Solution

The third proportional to 6,257,402 and 15,069,467 is: 36,291,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257,402 : 15,069,467 = 15,069,467 : x
  2. Step 2: Convert to fraction form
    6,257,402/15,069,467 = 15,069,467/x
  3. Step 3: Cross multiply
    6,257,402x = 15,069,467 × 15,069,467
  4. Step 4: Simplify right side
    6,257,402x = 227,088,835,664,089
  5. Step 5: Solve for x
    x = 227,088,835,664,089/6,257,402
  6. Step 6: Final answer
    x = 36,291,233.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.