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Finding the Third Proportional to 31,431,462 and 47,264,166.50

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Solution

The third proportional to 31,431,462 and 47,264,166.50 is: 71,072,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,462 : 47,264,166.50 = 47,264,166.50 : x
  2. Step 2: Convert to fraction form
    31,431,462/47,264,166.50 = 47,264,166.50/x
  3. Step 3: Cross multiply
    31,431,462x = 47,264,166.50 × 47,264,166.50
  4. Step 4: Simplify right side
    31,431,462x = 2,233,901,434,939,722.25
  5. Step 5: Solve for x
    x = 2,233,901,434,939,722.25/31,431,462
  6. Step 6: Final answer
    x = 71,072,145.32

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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.