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Finding the Third Proportional to 5,813,091 and 13,577,685

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Solution

The third proportional to 5,813,091 and 13,577,685 is: 31,713,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,091 : 13,577,685 = 13,577,685 : x
  2. Step 2: Convert to fraction form
    5,813,091/13,577,685 = 13,577,685/x
  3. Step 3: Cross multiply
    5,813,091x = 13,577,685 × 13,577,685
  4. Step 4: Simplify right side
    5,813,091x = 184,353,529,959,225
  5. Step 5: Solve for x
    x = 184,353,529,959,225/5,813,091
  6. Step 6: Final answer
    x = 31,713,511.79

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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.