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Finding the Third Proportional to 1,274,685,607 and 2,743,081,431

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Solution

The third proportional to 1,274,685,607 and 2,743,081,431 is: 5,903,020,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,685,607 : 2,743,081,431 = 2,743,081,431 : x
  2. Step 2: Convert to fraction form
    1,274,685,607/2,743,081,431 = 2,743,081,431/x
  3. Step 3: Cross multiply
    1,274,685,607x = 2,743,081,431 × 2,743,081,431
  4. Step 4: Simplify right side
    1,274,685,607x = 7,524,495,737,097,008,128
  5. Step 5: Solve for x
    x = 7,524,495,737,097,008,128/1,274,685,607
  6. Step 6: Final answer
    x = 5,903,020,867.09

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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.