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Finding the Third Proportional to 5,813,081 and 13,577,658

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Solution

The third proportional to 5,813,081 and 13,577,658 is: 31,713,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,081 : 13,577,658 = 13,577,658 : x
  2. Step 2: Convert to fraction form
    5,813,081/13,577,658 = 13,577,658/x
  3. Step 3: Cross multiply
    5,813,081x = 13,577,658 × 13,577,658
  4. Step 4: Simplify right side
    5,813,081x = 184,352,796,764,964
  5. Step 5: Solve for x
    x = 184,352,796,764,964/5,813,081
  6. Step 6: Final answer
    x = 31,713,440.22

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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.