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Finding the Third Proportional to 1,192,177,460.25 and 1,776,636,129.38

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Solution

The third proportional to 1,192,177,460.25 and 1,776,636,129.38 is: 2,647,622,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,177,460.25 : 1,776,636,129.38 = 1,776,636,129.38 : x
  2. Step 2: Convert to fraction form
    1,192,177,460.25/1,776,636,129.38 = 1,776,636,129.38/x
  3. Step 3: Cross multiply
    1,192,177,460.25x = 1,776,636,129.38 × 1,776,636,129.38
  4. Step 4: Simplify right side
    1,192,177,460.25x = 3,156,435,936,200,581,632
  5. Step 5: Solve for x
    x = 3,156,435,936,200,581,632/1,192,177,460.25
  6. Step 6: Final answer
    x = 2,647,622,557.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.