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Finding the Third Proportional to 5,998,869 and 8,549,361

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Solution

The third proportional to 5,998,869 and 8,549,361 is: 12,184,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998,869 : 8,549,361 = 8,549,361 : x
  2. Step 2: Convert to fraction form
    5,998,869/8,549,361 = 8,549,361/x
  3. Step 3: Cross multiply
    5,998,869x = 8,549,361 × 8,549,361
  4. Step 4: Simplify right side
    5,998,869x = 73,091,573,508,321
  5. Step 5: Solve for x
    x = 73,091,573,508,321/5,998,869
  6. Step 6: Final answer
    x = 12,184,225.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.