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Finding the Third Proportional to 9,550,698,336 and 20,552,584,896

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Solution

The third proportional to 9,550,698,336 and 20,552,584,896 is: 44,228,048,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550,698,336 : 20,552,584,896 = 20,552,584,896 : x
  2. Step 2: Convert to fraction form
    9,550,698,336/20,552,584,896 = 20,552,584,896/x
  3. Step 3: Cross multiply
    9,550,698,336x = 20,552,584,896 × 20,552,584,896
  4. Step 4: Simplify right side
    9,550,698,336x = 422,408,745,907,287,359,488
  5. Step 5: Solve for x
    x = 422,408,745,907,287,359,488/9,550,698,336
  6. Step 6: Final answer
    x = 44,228,048,153.83

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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.