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Finding the Third Proportional to 5,863,648 and 12,729,984

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Solution

The third proportional to 5,863,648 and 12,729,984 is: 27,636,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863,648 : 12,729,984 = 12,729,984 : x
  2. Step 2: Convert to fraction form
    5,863,648/12,729,984 = 12,729,984/x
  3. Step 3: Cross multiply
    5,863,648x = 12,729,984 × 12,729,984
  4. Step 4: Simplify right side
    5,863,648x = 162,052,492,640,256
  5. Step 5: Solve for x
    x = 162,052,492,640,256/5,863,648
  6. Step 6: Final answer
    x = 27,636,804.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.