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Finding the Third Proportional to 147,370,653,962 and 226,379,353,620

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Solution

The third proportional to 147,370,653,962 and 226,379,353,620 is: 347,746,382,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,370,653,962 : 226,379,353,620 = 226,379,353,620 : x
  2. Step 2: Convert to fraction form
    147,370,653,962/226,379,353,620 = 226,379,353,620/x
  3. Step 3: Cross multiply
    147,370,653,962x = 226,379,353,620 × 226,379,353,620
  4. Step 4: Simplify right side
    147,370,653,962x = 51,247,611,745,409,003,683,840
  5. Step 5: Solve for x
    x = 51,247,611,745,409,003,683,840/147,370,653,962
  6. Step 6: Final answer
    x = 347,746,382,116.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.