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Finding the Third Proportional to 475,632,273 and 1,044,798,161.25

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Solution

The third proportional to 475,632,273 and 1,044,798,161.25 is: 2,295,057,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,632,273 : 1,044,798,161.25 = 1,044,798,161.25 : x
  2. Step 2: Convert to fraction form
    475,632,273/1,044,798,161.25 = 1,044,798,161.25/x
  3. Step 3: Cross multiply
    475,632,273x = 1,044,798,161.25 × 1,044,798,161.25
  4. Step 4: Simplify right side
    475,632,273x = 1,091,603,197,751,380,992
  5. Step 5: Solve for x
    x = 1,091,603,197,751,380,992/475,632,273
  6. Step 6: Final answer
    x = 2,295,057,042.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.