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Finding the Third Proportional to 147,370,653,960 and 226,379,353,617

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Solution

The third proportional to 147,370,653,960 and 226,379,353,617 is: 347,746,382,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,370,653,960 : 226,379,353,617 = 226,379,353,617 : x
  2. Step 2: Convert to fraction form
    147,370,653,960/226,379,353,617 = 226,379,353,617/x
  3. Step 3: Cross multiply
    147,370,653,960x = 226,379,353,617 × 226,379,353,617
  4. Step 4: Simplify right side
    147,370,653,960x = 51,247,611,744,050,728,665,088
  5. Step 5: Solve for x
    x = 51,247,611,744,050,728,665,088/147,370,653,960
  6. Step 6: Final answer
    x = 347,746,382,111.87

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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.