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Finding the Third Proportional to 1,269,515,996 and 1,960,872,102

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Solution

The third proportional to 1,269,515,996 and 1,960,872,102 is: 3,028,728,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,515,996 : 1,960,872,102 = 1,960,872,102 : x
  2. Step 2: Convert to fraction form
    1,269,515,996/1,960,872,102 = 1,960,872,102/x
  3. Step 3: Cross multiply
    1,269,515,996x = 1,960,872,102 × 1,960,872,102
  4. Step 4: Simplify right side
    1,269,515,996x = 3,845,019,400,401,898,496
  5. Step 5: Solve for x
    x = 3,845,019,400,401,898,496/1,269,515,996
  6. Step 6: Final answer
    x = 3,028,728,596.19

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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.