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Finding the Third Proportional to 31,017,154 and 51,515,551

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Solution

The third proportional to 31,017,154 and 51,515,551 is: 85,560,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017,154 : 51,515,551 = 51,515,551 : x
  2. Step 2: Convert to fraction form
    31,017,154/51,515,551 = 51,515,551/x
  3. Step 3: Cross multiply
    31,017,154x = 51,515,551 × 51,515,551
  4. Step 4: Simplify right side
    31,017,154x = 2,653,851,994,833,601
  5. Step 5: Solve for x
    x = 2,653,851,994,833,601/31,017,154
  6. Step 6: Final answer
    x = 85,560,783.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.