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Finding the Third Proportional to 1,372,269,697 and 2,120,384,202

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Solution

The third proportional to 1,372,269,697 and 2,120,384,202 is: 3,276,345,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372,269,697 : 2,120,384,202 = 2,120,384,202 : x
  2. Step 2: Convert to fraction form
    1,372,269,697/2,120,384,202 = 2,120,384,202/x
  3. Step 3: Cross multiply
    1,372,269,697x = 2,120,384,202 × 2,120,384,202
  4. Step 4: Simplify right side
    1,372,269,697x = 4,496,029,164,091,176,960
  5. Step 5: Solve for x
    x = 4,496,029,164,091,176,960/1,372,269,697
  6. Step 6: Final answer
    x = 3,276,345,148.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.