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Finding the Third Proportional to 70,154,656,094 and 163,699,854,611

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Solution

The third proportional to 70,154,656,094 and 163,699,854,611 is: 381,979,527,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154,656,094 : 163,699,854,611 = 163,699,854,611 : x
  2. Step 2: Convert to fraction form
    70,154,656,094/163,699,854,611 = 163,699,854,611/x
  3. Step 3: Cross multiply
    70,154,656,094x = 163,699,854,611 × 163,699,854,611
  4. Step 4: Simplify right side
    70,154,656,094x = 26,797,642,399,662,538,227,712
  5. Step 5: Solve for x
    x = 26,797,642,399,662,538,227,712/70,154,656,094
  6. Step 6: Final answer
    x = 381,979,527,684.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.