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Finding the Third Proportional to 27,214,384,359 and 37,839,426,129.50

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Solution

The third proportional to 27,214,384,359 and 37,839,426,129.50 is: 52,612,697,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214,384,359 : 37,839,426,129.50 = 37,839,426,129.50 : x
  2. Step 2: Convert to fraction form
    27,214,384,359/37,839,426,129.50 = 37,839,426,129.50/x
  3. Step 3: Cross multiply
    27,214,384,359x = 37,839,426,129.50 × 37,839,426,129.50
  4. Step 4: Simplify right side
    27,214,384,359x = 1,431,822,169,809,887,428,608
  5. Step 5: Solve for x
    x = 1,431,822,169,809,887,428,608/27,214,384,359
  6. Step 6: Final answer
    x = 52,612,697,422.14

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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.