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Finding the Third Proportional to 6,550,209,736.50 and 9,366,871,990.50

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Solution

The third proportional to 6,550,209,736.50 and 9,366,871,990.50 is: 13,394,730,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550,209,736.50 : 9,366,871,990.50 = 9,366,871,990.50 : x
  2. Step 2: Convert to fraction form
    6,550,209,736.50/9,366,871,990.50 = 9,366,871,990.50/x
  3. Step 3: Cross multiply
    6,550,209,736.50x = 9,366,871,990.50 × 9,366,871,990.50
  4. Step 4: Simplify right side
    6,550,209,736.50x = 87,738,290,886,413,434,880
  5. Step 5: Solve for x
    x = 87,738,290,886,413,434,880/6,550,209,736.50
  6. Step 6: Final answer
    x = 13,394,730,003.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.