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Finding the Third Proportional to 4,077,338,967 and 6,296,263,083

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Solution

The third proportional to 4,077,338,967 and 6,296,263,083 is: 9,722,745,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,338,967 : 6,296,263,083 = 6,296,263,083 : x
  2. Step 2: Convert to fraction form
    4,077,338,967/6,296,263,083 = 6,296,263,083/x
  3. Step 3: Cross multiply
    4,077,338,967x = 6,296,263,083 × 6,296,263,083
  4. Step 4: Simplify right side
    4,077,338,967x = 39,642,928,810,348,666,880
  5. Step 5: Solve for x
    x = 39,642,928,810,348,666,880/4,077,338,967
  6. Step 6: Final answer
    x = 9,722,745,430.59

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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.