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Finding the Third Proportional to 4,089,568 and 8,602,197

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Solution

The third proportional to 4,089,568 and 8,602,197 is: 18,094,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,568 : 8,602,197 = 8,602,197 : x
  2. Step 2: Convert to fraction form
    4,089,568/8,602,197 = 8,602,197/x
  3. Step 3: Cross multiply
    4,089,568x = 8,602,197 × 8,602,197
  4. Step 4: Simplify right side
    4,089,568x = 73,997,793,226,809
  5. Step 5: Solve for x
    x = 73,997,793,226,809/4,089,568
  6. Step 6: Final answer
    x = 18,094,281.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.