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Finding the Third Proportional to 31,695,036 and 47,618,262

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Solution

The third proportional to 31,695,036 and 47,618,262 is: 71,541,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695,036 : 47,618,262 = 47,618,262 : x
  2. Step 2: Convert to fraction form
    31,695,036/47,618,262 = 47,618,262/x
  3. Step 3: Cross multiply
    31,695,036x = 47,618,262 × 47,618,262
  4. Step 4: Simplify right side
    31,695,036x = 2,267,498,875,900,644
  5. Step 5: Solve for x
    x = 2,267,498,875,900,644/31,695,036
  6. Step 6: Final answer
    x = 71,541,135.84

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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.