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Finding the Third Proportional to 47,406,423,133 and 68,494,094,865

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Solution

The third proportional to 47,406,423,133 and 68,494,094,865 is: 98,962,138,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406,423,133 : 68,494,094,865 = 68,494,094,865 : x
  2. Step 2: Convert to fraction form
    47,406,423,133/68,494,094,865 = 68,494,094,865/x
  3. Step 3: Cross multiply
    47,406,423,133x = 68,494,094,865 × 68,494,094,865
  4. Step 4: Simplify right side
    47,406,423,133x = 4,691,441,031,375,619,620,864
  5. Step 5: Solve for x
    x = 4,691,441,031,375,619,620,864/47,406,423,133
  6. Step 6: Final answer
    x = 98,962,138,911.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.