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Finding the Third Proportional to 26,209,692,544 and 37,085,911,296

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Solution

The third proportional to 26,209,692,544 and 37,085,911,296 is: 52,475,427,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,209,692,544 : 37,085,911,296 = 37,085,911,296 : x
  2. Step 2: Convert to fraction form
    26,209,692,544/37,085,911,296 = 37,085,911,296/x
  3. Step 3: Cross multiply
    26,209,692,544x = 37,085,911,296 × 37,085,911,296
  4. Step 4: Simplify right side
    26,209,692,544x = 1,375,364,816,654,780,334,080
  5. Step 5: Solve for x
    x = 1,375,364,816,654,780,334,080/26,209,692,544
  6. Step 6: Final answer
    x = 52,475,427,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.