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Finding the Third Proportional to 5,813,077 and 13,577,648

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Solution

The third proportional to 5,813,077 and 13,577,648 is: 31,713,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,077 : 13,577,648 = 13,577,648 : x
  2. Step 2: Convert to fraction form
    5,813,077/13,577,648 = 13,577,648/x
  3. Step 3: Cross multiply
    5,813,077x = 13,577,648 × 13,577,648
  4. Step 4: Simplify right side
    5,813,077x = 184,352,525,211,904
  5. Step 5: Solve for x
    x = 184,352,525,211,904/5,813,077
  6. Step 6: Final answer
    x = 31,713,415.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.