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Finding the Third Proportional to 8,564,880,852 and 13,093,494,098

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Solution

The third proportional to 8,564,880,852 and 13,093,494,098 is: 20,016,575,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564,880,852 : 13,093,494,098 = 13,093,494,098 : x
  2. Step 2: Convert to fraction form
    8,564,880,852/13,093,494,098 = 13,093,494,098/x
  3. Step 3: Cross multiply
    8,564,880,852x = 13,093,494,098 × 13,093,494,098
  4. Step 4: Simplify right side
    8,564,880,852x = 171,439,587,694,360,821,760
  5. Step 5: Solve for x
    x = 171,439,587,694,360,821,760/8,564,880,852
  6. Step 6: Final answer
    x = 20,016,575,905.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.