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Finding the Third Proportional to 18,281,800,782.50 and 25,744,804,074

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Solution

The third proportional to 18,281,800,782.50 and 25,744,804,074 is: 36,254,357,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281,800,782.50 : 25,744,804,074 = 25,744,804,074 : x
  2. Step 2: Convert to fraction form
    18,281,800,782.50/25,744,804,074 = 25,744,804,074/x
  3. Step 3: Cross multiply
    18,281,800,782.50x = 25,744,804,074 × 25,744,804,074
  4. Step 4: Simplify right side
    18,281,800,782.50x = 662,794,936,808,647,032,832
  5. Step 5: Solve for x
    x = 662,794,936,808,647,032,832/18,281,800,782.50
  6. Step 6: Final answer
    x = 36,254,357,253.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.