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Finding the Third Proportional to 1,616,424,400 and 3,491,509,664

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Solution

The third proportional to 1,616,424,400 and 3,491,509,664 is: 7,541,732,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,424,400 : 3,491,509,664 = 3,491,509,664 : x
  2. Step 2: Convert to fraction form
    1,616,424,400/3,491,509,664 = 3,491,509,664/x
  3. Step 3: Cross multiply
    1,616,424,400x = 3,491,509,664 × 3,491,509,664
  4. Step 4: Simplify right side
    1,616,424,400x = 12,190,639,733,805,391,872
  5. Step 5: Solve for x
    x = 12,190,639,733,805,391,872/1,616,424,400
  6. Step 6: Final answer
    x = 7,541,732,068.51

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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.