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Finding the Third Proportional to 26,200,838,916 and 37,467,487,917

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Solution

The third proportional to 26,200,838,916 and 37,467,487,917 is: 53,578,919,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200,838,916 : 37,467,487,917 = 37,467,487,917 : x
  2. Step 2: Convert to fraction form
    26,200,838,916/37,467,487,917 = 37,467,487,917/x
  3. Step 3: Cross multiply
    26,200,838,916x = 37,467,487,917 × 37,467,487,917
  4. Step 4: Simplify right side
    26,200,838,916x = 1,403,812,650,810,541,080,576
  5. Step 5: Solve for x
    x = 1,403,812,650,810,541,080,576/26,200,838,916
  6. Step 6: Final answer
    x = 53,578,919,946.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.