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Finding the Third Proportional to 10,504,077,440 and 22,685,297,760

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Solution

The third proportional to 10,504,077,440 and 22,685,297,760 is: 48,992,663,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504,077,440 : 22,685,297,760 = 22,685,297,760 : x
  2. Step 2: Convert to fraction form
    10,504,077,440/22,685,297,760 = 22,685,297,760/x
  3. Step 3: Cross multiply
    10,504,077,440x = 22,685,297,760 × 22,685,297,760
  4. Step 4: Simplify right side
    10,504,077,440x = 514,622,734,459,861,008,384
  5. Step 5: Solve for x
    x = 514,622,734,459,861,008,384/10,504,077,440
  6. Step 6: Final answer
    x = 48,992,663,791.70

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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.