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Finding the Third Proportional to 1,994,477,092,542 and 4,044,452,839,902

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Solution

The third proportional to 1,994,477,092,542 and 4,044,452,839,902 is: 8,201,447,304,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,477,092,542 : 4,044,452,839,902 = 4,044,452,839,902 : x
  2. Step 2: Convert to fraction form
    1,994,477,092,542/4,044,452,839,902 = 4,044,452,839,902/x
  3. Step 3: Cross multiply
    1,994,477,092,542x = 4,044,452,839,902 × 4,044,452,839,902
  4. Step 4: Simplify right side
    1,994,477,092,542x = 16,357,598,774,191,352,723,800,064
  5. Step 5: Solve for x
    x = 16,357,598,774,191,352,723,800,064/1,994,477,092,542
  6. Step 6: Final answer
    x = 8,201,447,304,337.44

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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.