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Finding the Third Proportional to 4,325,672,409 and 8,880,661,569

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Solution

The third proportional to 4,325,672,409 and 8,880,661,569 is: 18,232,113,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325,672,409 : 8,880,661,569 = 8,880,661,569 : x
  2. Step 2: Convert to fraction form
    4,325,672,409/8,880,661,569 = 8,880,661,569/x
  3. Step 3: Cross multiply
    4,325,672,409x = 8,880,661,569 × 8,880,661,569
  4. Step 4: Simplify right side
    4,325,672,409x = 78,866,149,903,113,535,488
  5. Step 5: Solve for x
    x = 78,866,149,903,113,535,488/4,325,672,409
  6. Step 6: Final answer
    x = 18,232,113,402.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.