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Finding the Third Proportional to 5,998,878 and 8,549,374.50

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Solution

The third proportional to 5,998,878 and 8,549,374.50 is: 12,184,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998,878 : 8,549,374.50 = 8,549,374.50 : x
  2. Step 2: Convert to fraction form
    5,998,878/8,549,374.50 = 8,549,374.50/x
  3. Step 3: Cross multiply
    5,998,878x = 8,549,374.50 × 8,549,374.50
  4. Step 4: Simplify right side
    5,998,878x = 73,091,804,341,250.25
  5. Step 5: Solve for x
    x = 73,091,804,341,250.25/5,998,878
  6. Step 6: Final answer
    x = 12,184,245.84

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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.