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Finding the Third Proportional to 1,269,515,994 and 1,960,872,099

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Solution

The third proportional to 1,269,515,994 and 1,960,872,099 is: 3,028,728,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,515,994 : 1,960,872,099 = 1,960,872,099 : x
  2. Step 2: Convert to fraction form
    1,269,515,994/1,960,872,099 = 1,960,872,099/x
  3. Step 3: Cross multiply
    1,269,515,994x = 1,960,872,099 × 1,960,872,099
  4. Step 4: Simplify right side
    1,269,515,994x = 3,845,019,388,636,665,856
  5. Step 5: Solve for x
    x = 3,845,019,388,636,665,856/1,269,515,994
  6. Step 6: Final answer
    x = 3,028,728,591.69

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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.