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Finding the Third Proportional to 1,305,973,573.03 and 1,996,942,835.25

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Solution

The third proportional to 1,305,973,573.03 and 1,996,942,835.25 is: 3,053,492,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,973,573.03 : 1,996,942,835.25 = 1,996,942,835.25 : x
  2. Step 2: Convert to fraction form
    1,305,973,573.03/1,996,942,835.25 = 1,996,942,835.25/x
  3. Step 3: Cross multiply
    1,305,973,573.03x = 1,996,942,835.25 × 1,996,942,835.25
  4. Step 4: Simplify right side
    1,305,973,573.03x = 3,987,780,687,256,308,736
  5. Step 5: Solve for x
    x = 3,987,780,687,256,308,736/1,305,973,573.03
  6. Step 6: Final answer
    x = 3,053,492,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.