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Finding the Third Proportional to 31,343,685 and 47,489,567

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Solution

The third proportional to 31,343,685 and 47,489,567 is: 71,952,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343,685 : 47,489,567 = 47,489,567 : x
  2. Step 2: Convert to fraction form
    31,343,685/47,489,567 = 47,489,567/x
  3. Step 3: Cross multiply
    31,343,685x = 47,489,567 × 47,489,567
  4. Step 4: Simplify right side
    31,343,685x = 2,255,258,973,847,489
  5. Step 5: Solve for x
    x = 2,255,258,973,847,489/31,343,685
  6. Step 6: Final answer
    x = 71,952,579.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.