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Finding the Third Proportional to 31,434,873,508 and 68,559,128,293

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Solution

The third proportional to 31,434,873,508 and 68,559,128,293 is: 149,526,737,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434,873,508 : 68,559,128,293 = 68,559,128,293 : x
  2. Step 2: Convert to fraction form
    31,434,873,508/68,559,128,293 = 68,559,128,293/x
  3. Step 3: Cross multiply
    31,434,873,508x = 68,559,128,293 × 68,559,128,293
  4. Step 4: Simplify right side
    31,434,873,508x = 4,700,354,072,296,033,353,728
  5. Step 5: Solve for x
    x = 4,700,354,072,296,033,353,728/31,434,873,508
  6. Step 6: Final answer
    x = 149,526,737,274.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.