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Finding the Third Proportional to 2,754,791,552,702 and 5,967,979,482,108

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Solution

The third proportional to 2,754,791,552,702 and 5,967,979,482,108 is: 12,929,028,718,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,791,552,702 : 5,967,979,482,108 = 5,967,979,482,108 : x
  2. Step 2: Convert to fraction form
    2,754,791,552,702/5,967,979,482,108 = 5,967,979,482,108/x
  3. Step 3: Cross multiply
    2,754,791,552,702x = 5,967,979,482,108 × 5,967,979,482,108
  4. Step 4: Simplify right side
    2,754,791,552,702x = 35,616,779,098,862,072,325,210,112
  5. Step 5: Solve for x
    x = 35,616,779,098,862,072,325,210,112/2,754,791,552,702
  6. Step 6: Final answer
    x = 12,929,028,718,680.31

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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.