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Finding the Third Proportional to 3,010,962,222 and 6,522,253,180

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Solution

The third proportional to 3,010,962,222 and 6,522,253,180 is: 14,128,302,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,962,222 : 6,522,253,180 = 6,522,253,180 : x
  2. Step 2: Convert to fraction form
    3,010,962,222/6,522,253,180 = 6,522,253,180/x
  3. Step 3: Cross multiply
    3,010,962,222x = 6,522,253,180 × 6,522,253,180
  4. Step 4: Simplify right side
    3,010,962,222x = 42,539,786,544,020,111,360
  5. Step 5: Solve for x
    x = 42,539,786,544,020,111,360/3,010,962,222
  6. Step 6: Final answer
    x = 14,128,302,983.41

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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.