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Finding the Third Proportional to 18,281,800,785 and 25,744,804,077

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Solution

The third proportional to 18,281,800,785 and 25,744,804,077 is: 36,254,357,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281,800,785 : 25,744,804,077 = 25,744,804,077 : x
  2. Step 2: Convert to fraction form
    18,281,800,785/25,744,804,077 = 25,744,804,077/x
  3. Step 3: Cross multiply
    18,281,800,785x = 25,744,804,077 × 25,744,804,077
  4. Step 4: Simplify right side
    18,281,800,785x = 662,794,936,963,115,778,048
  5. Step 5: Solve for x
    x = 662,794,936,963,115,778,048/18,281,800,785
  6. Step 6: Final answer
    x = 36,254,357,257.13

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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.