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Finding the Third Proportional to 5,243,656,232 and 11,235,248,422

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Solution

The third proportional to 5,243,656,232 and 11,235,248,422 is: 24,073,051,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243,656,232 : 11,235,248,422 = 11,235,248,422 : x
  2. Step 2: Convert to fraction form
    5,243,656,232/11,235,248,422 = 11,235,248,422/x
  3. Step 3: Cross multiply
    5,243,656,232x = 11,235,248,422 × 11,235,248,422
  4. Step 4: Simplify right side
    5,243,656,232x = 126,230,807,104,053,493,760
  5. Step 5: Solve for x
    x = 126,230,807,104,053,493,760/5,243,656,232
  6. Step 6: Final answer
    x = 24,073,051,611.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.