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Finding the Third Proportional to 26,019,330,224 and 35,106,185,668

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Solution

The third proportional to 26,019,330,224 and 35,106,185,668 is: 47,366,487,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,330,224 : 35,106,185,668 = 35,106,185,668 : x
  2. Step 2: Convert to fraction form
    26,019,330,224/35,106,185,668 = 35,106,185,668/x
  3. Step 3: Cross multiply
    26,019,330,224x = 35,106,185,668 × 35,106,185,668
  4. Step 4: Simplify right side
    26,019,330,224x = 1,232,444,272,156,088,729,600
  5. Step 5: Solve for x
    x = 1,232,444,272,156,088,729,600/26,019,330,224
  6. Step 6: Final answer
    x = 47,366,487,205.70

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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.