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Finding the Third Proportional to 9,550,698,338 and 20,552,584,900

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Solution

The third proportional to 9,550,698,338 and 20,552,584,900 is: 44,228,048,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550,698,338 : 20,552,584,900 = 20,552,584,900 : x
  2. Step 2: Convert to fraction form
    9,550,698,338/20,552,584,900 = 20,552,584,900/x
  3. Step 3: Cross multiply
    9,550,698,338x = 20,552,584,900 × 20,552,584,900
  4. Step 4: Simplify right side
    9,550,698,338x = 422,408,746,071,708,008,448
  5. Step 5: Solve for x
    x = 422,408,746,071,708,008,448/9,550,698,338
  6. Step 6: Final answer
    x = 44,228,048,161.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.