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Finding the Third Proportional to 220,845,556 and 478,496,544

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Solution

The third proportional to 220,845,556 and 478,496,544 is: 1,036,737,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,556 : 478,496,544 = 478,496,544 : x
  2. Step 2: Convert to fraction form
    220,845,556/478,496,544 = 478,496,544/x
  3. Step 3: Cross multiply
    220,845,556x = 478,496,544 × 478,496,544
  4. Step 4: Simplify right side
    220,845,556x = 228,958,942,619,943,936
  5. Step 5: Solve for x
    x = 228,958,942,619,943,936/220,845,556
  6. Step 6: Final answer
    x = 1,036,737,830.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.