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Finding the Third Proportional to 1,222,372,770 and 2,651,459,280

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Solution

The third proportional to 1,222,372,770 and 2,651,459,280 is: 5,751,303,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,372,770 : 2,651,459,280 = 2,651,459,280 : x
  2. Step 2: Convert to fraction form
    1,222,372,770/2,651,459,280 = 2,651,459,280/x
  3. Step 3: Cross multiply
    1,222,372,770x = 2,651,459,280 × 2,651,459,280
  4. Step 4: Simplify right side
    1,222,372,770x = 7,030,236,313,498,118,144
  5. Step 5: Solve for x
    x = 7,030,236,313,498,118,144/1,222,372,770
  6. Step 6: Final answer
    x = 5,751,303,109.85

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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.