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Finding the Third Proportional to 26,019,330,223 and 35,106,185,667

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Solution

The third proportional to 26,019,330,223 and 35,106,185,667 is: 47,366,487,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,330,223 : 35,106,185,667 = 35,106,185,667 : x
  2. Step 2: Convert to fraction form
    26,019,330,223/35,106,185,667 = 35,106,185,667/x
  3. Step 3: Cross multiply
    26,019,330,223x = 35,106,185,667 × 35,106,185,667
  4. Step 4: Simplify right side
    26,019,330,223x = 1,232,444,272,085,876,342,784
  5. Step 5: Solve for x
    x = 1,232,444,272,085,876,342,784/26,019,330,223
  6. Step 6: Final answer
    x = 47,366,487,204.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.