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Finding the Third Proportional to 26,019,338,008 and 35,106,195,704

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Solution

The third proportional to 26,019,338,008 and 35,106,195,704 is: 47,366,500,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,338,008 : 35,106,195,704 = 35,106,195,704 : x
  2. Step 2: Convert to fraction form
    26,019,338,008/35,106,195,704 = 35,106,195,704/x
  3. Step 3: Cross multiply
    26,019,338,008x = 35,106,195,704 × 35,106,195,704
  4. Step 4: Simplify right side
    26,019,338,008x = 1,232,444,976,807,548,026,880
  5. Step 5: Solve for x
    x = 1,232,444,976,807,548,026,880/26,019,338,008
  6. Step 6: Final answer
    x = 47,366,500,117.28

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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.