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Finding the Third Proportional to 1,192,196,683,757 and 2,600,168,420,406

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Solution

The third proportional to 1,192,196,683,757 and 2,600,168,420,406 is: 5,670,939,960,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,196,683,757 : 2,600,168,420,406 = 2,600,168,420,406 : x
  2. Step 2: Convert to fraction form
    1,192,196,683,757/2,600,168,420,406 = 2,600,168,420,406/x
  3. Step 3: Cross multiply
    1,192,196,683,757x = 2,600,168,420,406 × 2,600,168,420,406
  4. Step 4: Simplify right side
    1,192,196,683,757x = 6,760,875,814,476,632,872,189,952
  5. Step 5: Solve for x
    x = 6,760,875,814,476,632,872,189,952/1,192,196,683,757
  6. Step 6: Final answer
    x = 5,670,939,960,318.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.