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Finding the Third Proportional to 4,057,068 and 8,566,845

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Solution

The third proportional to 4,057,068 and 8,566,845 is: 18,089,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,068 : 8,566,845 = 8,566,845 : x
  2. Step 2: Convert to fraction form
    4,057,068/8,566,845 = 8,566,845/x
  3. Step 3: Cross multiply
    4,057,068x = 8,566,845 × 8,566,845
  4. Step 4: Simplify right side
    4,057,068x = 73,390,833,254,025
  5. Step 5: Solve for x
    x = 73,390,833,254,025/4,057,068
  6. Step 6: Final answer
    x = 18,089,623.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.