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Finding the Third Proportional to 31,552,069 and 47,202,343

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Solution

The third proportional to 31,552,069 and 47,202,343 is: 70,615,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552,069 : 47,202,343 = 47,202,343 : x
  2. Step 2: Convert to fraction form
    31,552,069/47,202,343 = 47,202,343/x
  3. Step 3: Cross multiply
    31,552,069x = 47,202,343 × 47,202,343
  4. Step 4: Simplify right side
    31,552,069x = 2,228,061,184,689,649
  5. Step 5: Solve for x
    x = 2,228,061,184,689,649/31,552,069
  6. Step 6: Final answer
    x = 70,615,375.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.