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Finding the Third Proportional to 2,198,325,432 and 4,741,015,776

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Solution

The third proportional to 2,198,325,432 and 4,741,015,776 is: 10,224,705,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,325,432 : 4,741,015,776 = 4,741,015,776 : x
  2. Step 2: Convert to fraction form
    2,198,325,432/4,741,015,776 = 4,741,015,776/x
  3. Step 3: Cross multiply
    2,198,325,432x = 4,741,015,776 × 4,741,015,776
  4. Step 4: Simplify right side
    2,198,325,432x = 22,477,230,588,280,881,152
  5. Step 5: Solve for x
    x = 22,477,230,588,280,881,152/2,198,325,432
  6. Step 6: Final answer
    x = 10,224,705,706.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.