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Finding the Third Proportional to 5,980,092,057 and 12,880,285,146

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Solution

The third proportional to 5,980,092,057 and 12,880,285,146 is: 27,742,339,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980,092,057 : 12,880,285,146 = 12,880,285,146 : x
  2. Step 2: Convert to fraction form
    5,980,092,057/12,880,285,146 = 12,880,285,146/x
  3. Step 3: Cross multiply
    5,980,092,057x = 12,880,285,146 × 12,880,285,146
  4. Step 4: Simplify right side
    5,980,092,057x = 165,901,745,442,268,250,112
  5. Step 5: Solve for x
    x = 165,901,745,442,268,250,112/5,980,092,057
  6. Step 6: Final answer
    x = 27,742,339,726.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.