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Finding the Third Proportional to 51,736,729 and 81,159,698

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Solution

The third proportional to 51,736,729 and 81,159,698 is: 127,315,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736,729 : 81,159,698 = 81,159,698 : x
  2. Step 2: Convert to fraction form
    51,736,729/81,159,698 = 81,159,698/x
  3. Step 3: Cross multiply
    51,736,729x = 81,159,698 × 81,159,698
  4. Step 4: Simplify right side
    51,736,729x = 6,586,896,579,451,204
  5. Step 5: Solve for x
    x = 6,586,896,579,451,204/51,736,729
  6. Step 6: Final answer
    x = 127,315,675.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.