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Finding the Third Proportional to 7,968,768 and 11,961,312

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Solution

The third proportional to 7,968,768 and 11,961,312 is: 17,954,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968,768 : 11,961,312 = 11,961,312 : x
  2. Step 2: Convert to fraction form
    7,968,768/11,961,312 = 11,961,312/x
  3. Step 3: Cross multiply
    7,968,768x = 11,961,312 × 11,961,312
  4. Step 4: Simplify right side
    7,968,768x = 143,072,984,761,344
  5. Step 5: Solve for x
    x = 143,072,984,761,344/7,968,768
  6. Step 6: Final answer
    x = 17,954,216.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.