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Finding the Third Proportional to 1,055,851,232 and 1,597,366,474

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Solution

The third proportional to 1,055,851,232 and 1,597,366,474 is: 2,416,609,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,851,232 : 1,597,366,474 = 1,597,366,474 : x
  2. Step 2: Convert to fraction form
    1,055,851,232/1,597,366,474 = 1,597,366,474/x
  3. Step 3: Cross multiply
    1,055,851,232x = 1,597,366,474 × 1,597,366,474
  4. Step 4: Simplify right side
    1,055,851,232x = 2,551,579,652,259,192,832
  5. Step 5: Solve for x
    x = 2,551,579,652,259,192,832/1,055,851,232
  6. Step 6: Final answer
    x = 2,416,609,059.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.