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Finding the Third Proportional to 71,375,453,253 and 107,982,668,322

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Solution

The third proportional to 71,375,453,253 and 107,982,668,322 is: 163,365,080,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375,453,253 : 107,982,668,322 = 107,982,668,322 : x
  2. Step 2: Convert to fraction form
    71,375,453,253/107,982,668,322 = 107,982,668,322/x
  3. Step 3: Cross multiply
    71,375,453,253x = 107,982,668,322 × 107,982,668,322
  4. Step 4: Simplify right side
    71,375,453,253x = 11,660,256,657,939,061,800,960
  5. Step 5: Solve for x
    x = 11,660,256,657,939,061,800,960/71,375,453,253
  6. Step 6: Final answer
    x = 163,365,080,381.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.