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Finding the Third Proportional to 27,214,384,413 and 37,839,426,228

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Solution

The third proportional to 27,214,384,413 and 37,839,426,228 is: 52,612,697,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214,384,413 : 37,839,426,228 = 37,839,426,228 : x
  2. Step 2: Convert to fraction form
    27,214,384,413/37,839,426,228 = 37,839,426,228/x
  3. Step 3: Cross multiply
    27,214,384,413x = 37,839,426,228 × 37,839,426,228
  4. Step 4: Simplify right side
    27,214,384,413x = 1,431,822,177,264,254,320,640
  5. Step 5: Solve for x
    x = 1,431,822,177,264,254,320,640/27,214,384,413
  6. Step 6: Final answer
    x = 52,612,697,591.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.