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Finding the Third Proportional to 2,833,144,741 and 6,064,278,979

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Solution

The third proportional to 2,833,144,741 and 6,064,278,979 is: 12,980,445,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,144,741 : 6,064,278,979 = 6,064,278,979 : x
  2. Step 2: Convert to fraction form
    2,833,144,741/6,064,278,979 = 6,064,278,979/x
  3. Step 3: Cross multiply
    2,833,144,741x = 6,064,278,979 × 6,064,278,979
  4. Step 4: Simplify right side
    2,833,144,741x = 36,775,479,535,141,281,792
  5. Step 5: Solve for x
    x = 36,775,479,535,141,281,792/2,833,144,741
  6. Step 6: Final answer
    x = 12,980,445,016.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.