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Finding the Third Proportional to 2,309,631,442 and 4,741,703,462

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Solution

The third proportional to 2,309,631,442 and 4,741,703,462 is: 9,734,779,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,631,442 : 4,741,703,462 = 4,741,703,462 : x
  2. Step 2: Convert to fraction form
    2,309,631,442/4,741,703,462 = 4,741,703,462/x
  3. Step 3: Cross multiply
    2,309,631,442x = 4,741,703,462 × 4,741,703,462
  4. Step 4: Simplify right side
    2,309,631,442x = 22,483,751,721,542,787,072
  5. Step 5: Solve for x
    x = 22,483,751,721,542,787,072/2,309,631,442
  6. Step 6: Final answer
    x = 9,734,779,026.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.