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Finding the Third Proportional to 26,869,424,041 and 58,306,108,898

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Solution

The third proportional to 26,869,424,041 and 58,306,108,898 is: 126,523,081,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869,424,041 : 58,306,108,898 = 58,306,108,898 : x
  2. Step 2: Convert to fraction form
    26,869,424,041/58,306,108,898 = 58,306,108,898/x
  3. Step 3: Cross multiply
    26,869,424,041x = 58,306,108,898 × 58,306,108,898
  4. Step 4: Simplify right side
    26,869,424,041x = 3,399,602,334,825,434,841,088
  5. Step 5: Solve for x
    x = 3,399,602,334,825,434,841,088/26,869,424,041
  6. Step 6: Final answer
    x = 126,523,081,761.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.