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Finding the Third Proportional to 31,001,134 and 51,046,611

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Solution

The third proportional to 31,001,134 and 51,046,611 is: 84,053,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,134 : 51,046,611 = 51,046,611 : x
  2. Step 2: Convert to fraction form
    31,001,134/51,046,611 = 51,046,611/x
  3. Step 3: Cross multiply
    31,001,134x = 51,046,611 × 51,046,611
  4. Step 4: Simplify right side
    31,001,134x = 2,605,756,494,585,321
  5. Step 5: Solve for x
    x = 2,605,756,494,585,321/31,001,134
  6. Step 6: Final answer
    x = 84,053,586.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.