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Finding the Third Proportional to 31,310,964 and 47,776,302

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Solution

The third proportional to 31,310,964 and 47,776,302 is: 72,900,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310,964 : 47,776,302 = 47,776,302 : x
  2. Step 2: Convert to fraction form
    31,310,964/47,776,302 = 47,776,302/x
  3. Step 3: Cross multiply
    31,310,964x = 47,776,302 × 47,776,302
  4. Step 4: Simplify right side
    31,310,964x = 2,282,575,032,795,204
  5. Step 5: Solve for x
    x = 2,282,575,032,795,204/31,310,964
  6. Step 6: Final answer
    x = 72,900,183.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.