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Finding the Third Proportional to 31,502,261 and 48,597,425

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Solution

The third proportional to 31,502,261 and 48,597,425 is: 74,969,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502,261 : 48,597,425 = 48,597,425 : x
  2. Step 2: Convert to fraction form
    31,502,261/48,597,425 = 48,597,425/x
  3. Step 3: Cross multiply
    31,502,261x = 48,597,425 × 48,597,425
  4. Step 4: Simplify right side
    31,502,261x = 2,361,709,716,630,625
  5. Step 5: Solve for x
    x = 2,361,709,716,630,625/31,502,261
  6. Step 6: Final answer
    x = 74,969,530.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.