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Finding the Third Proportional to 1,269,515,986 and 1,960,872,082

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Solution

The third proportional to 1,269,515,986 and 1,960,872,082 is: 3,028,728,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,515,986 : 1,960,872,082 = 1,960,872,082 : x
  2. Step 2: Convert to fraction form
    1,269,515,986/1,960,872,082 = 1,960,872,082/x
  3. Step 3: Cross multiply
    1,269,515,986x = 1,960,872,082 × 1,960,872,082
  4. Step 4: Simplify right side
    1,269,515,986x = 3,845,019,321,967,014,912
  5. Step 5: Solve for x
    x = 3,845,019,321,967,014,912/1,269,515,986
  6. Step 6: Final answer
    x = 3,028,728,558.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.