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Finding the Third Proportional to 3,052,343,370 and 6,611,770,716

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Solution

The third proportional to 3,052,343,370 and 6,611,770,716 is: 14,321,950,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,343,370 : 6,611,770,716 = 6,611,770,716 : x
  2. Step 2: Convert to fraction form
    3,052,343,370/6,611,770,716 = 6,611,770,716/x
  3. Step 3: Cross multiply
    3,052,343,370x = 6,611,770,716 × 6,611,770,716
  4. Step 4: Simplify right side
    3,052,343,370x = 43,715,512,000,955,154,432
  5. Step 5: Solve for x
    x = 43,715,512,000,955,154,432/3,052,343,370
  6. Step 6: Final answer
    x = 14,321,950,941.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.