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Finding the Third Proportional to 963,593,951.63 and 2,110,800,768.75

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Solution

The third proportional to 963,593,951.63 and 2,110,800,768.75 is: 4,623,814,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,593,951.63 : 2,110,800,768.75 = 2,110,800,768.75 : x
  2. Step 2: Convert to fraction form
    963,593,951.63/2,110,800,768.75 = 2,110,800,768.75/x
  3. Step 3: Cross multiply
    963,593,951.63x = 2,110,800,768.75 × 2,110,800,768.75
  4. Step 4: Simplify right side
    963,593,951.63x = 4,455,479,885,355,591,168
  5. Step 5: Solve for x
    x = 4,455,479,885,355,591,168/963,593,951.63
  6. Step 6: Final answer
    x = 4,623,814,707.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.