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Finding the Third Proportional to 1,440,538,915 and 3,334,639,963

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Solution

The third proportional to 1,440,538,915 and 3,334,639,963 is: 7,719,210,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,538,915 : 3,334,639,963 = 3,334,639,963 : x
  2. Step 2: Convert to fraction form
    1,440,538,915/3,334,639,963 = 3,334,639,963/x
  3. Step 3: Cross multiply
    1,440,538,915x = 3,334,639,963 × 3,334,639,963
  4. Step 4: Simplify right side
    1,440,538,915x = 11,119,823,682,836,641,792
  5. Step 5: Solve for x
    x = 11,119,823,682,836,641,792/1,440,538,915
  6. Step 6: Final answer
    x = 7,719,210,891.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.