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Finding the Third Proportional to 1,678,163,654 and 2,632,543,544

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Solution

The third proportional to 1,678,163,654 and 2,632,543,544 is: 4,129,683,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,163,654 : 2,632,543,544 = 2,632,543,544 : x
  2. Step 2: Convert to fraction form
    1,678,163,654/2,632,543,544 = 2,632,543,544/x
  3. Step 3: Cross multiply
    1,678,163,654x = 2,632,543,544 × 2,632,543,544
  4. Step 4: Simplify right side
    1,678,163,654x = 6,930,285,511,056,079,872
  5. Step 5: Solve for x
    x = 6,930,285,511,056,079,872/1,678,163,654
  6. Step 6: Final answer
    x = 4,129,683,952.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.