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Finding the Third Proportional to 31,891,181,962.50 and 68,331,205,311

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Solution

The third proportional to 31,891,181,962.50 and 68,331,205,311 is: 146,408,923,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891,181,962.50 : 68,331,205,311 = 68,331,205,311 : x
  2. Step 2: Convert to fraction form
    31,891,181,962.50/68,331,205,311 = 68,331,205,311/x
  3. Step 3: Cross multiply
    31,891,181,962.50x = 68,331,205,311 × 68,331,205,311
  4. Step 4: Simplify right side
    31,891,181,962.50x = 4,669,153,619,254,034,563,072
  5. Step 5: Solve for x
    x = 4,669,153,619,254,034,563,072/31,891,181,962.50
  6. Step 6: Final answer
    x = 146,408,923,468.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.