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Finding the Third Proportional to 3,010,962,209 and 6,522,253,156

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Solution

The third proportional to 3,010,962,209 and 6,522,253,156 is: 14,128,302,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,962,209 : 6,522,253,156 = 6,522,253,156 : x
  2. Step 2: Convert to fraction form
    3,010,962,209/6,522,253,156 = 6,522,253,156/x
  3. Step 3: Cross multiply
    3,010,962,209x = 6,522,253,156 × 6,522,253,156
  4. Step 4: Simplify right side
    3,010,962,209x = 42,539,786,230,951,960,576
  5. Step 5: Solve for x
    x = 42,539,786,230,951,960,576/3,010,962,209
  6. Step 6: Final answer
    x = 14,128,302,940.43

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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.