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Finding the Third Proportional to 26,019,338,009.50 and 35,106,195,706

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Solution

The third proportional to 26,019,338,009.50 and 35,106,195,706 is: 47,366,500,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,338,009.50 : 35,106,195,706 = 35,106,195,706 : x
  2. Step 2: Convert to fraction form
    26,019,338,009.50/35,106,195,706 = 35,106,195,706/x
  3. Step 3: Cross multiply
    26,019,338,009.50x = 35,106,195,706 × 35,106,195,706
  4. Step 4: Simplify right side
    26,019,338,009.50x = 1,232,444,976,947,972,800,512
  5. Step 5: Solve for x
    x = 1,232,444,976,947,972,800,512/26,019,338,009.50
  6. Step 6: Final answer
    x = 47,366,500,119.95

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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.