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Finding the Third Proportional to 4,089,564 and 8,602,188.75

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Solution

The third proportional to 4,089,564 and 8,602,188.75 is: 18,094,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,564 : 8,602,188.75 = 8,602,188.75 : x
  2. Step 2: Convert to fraction form
    4,089,564/8,602,188.75 = 8,602,188.75/x
  3. Step 3: Cross multiply
    4,089,564x = 8,602,188.75 × 8,602,188.75
  4. Step 4: Simplify right side
    4,089,564x = 73,997,651,290,626.56
  5. Step 5: Solve for x
    x = 73,997,651,290,626.56/4,089,564
  6. Step 6: Final answer
    x = 18,094,264.15

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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.