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Finding the Third Proportional to 24,959,114,464.44 and 50,612,745,443.25

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Solution

The third proportional to 24,959,114,464.44 and 50,612,745,443.25 is: 102,633,849,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959,114,464.44 : 50,612,745,443.25 = 50,612,745,443.25 : x
  2. Step 2: Convert to fraction form
    24,959,114,464.44/50,612,745,443.25 = 50,612,745,443.25/x
  3. Step 3: Cross multiply
    24,959,114,464.44x = 50,612,745,443.25 × 50,612,745,443.25
  4. Step 4: Simplify right side
    24,959,114,464.44x = 2,561,650,001,303,223,402,496
  5. Step 5: Solve for x
    x = 2,561,650,001,303,223,402,496/24,959,114,464.44
  6. Step 6: Final answer
    x = 102,633,849,648.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.