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Finding the Third Proportional to 40,664,895.75 and 89,401,051.69

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Solution

The third proportional to 40,664,895.75 and 89,401,051.69 is: 196,546,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,664,895.75 : 89,401,051.69 = 89,401,051.69 : x
  2. Step 2: Convert to fraction form
    40,664,895.75/89,401,051.69 = 89,401,051.69/x
  3. Step 3: Cross multiply
    40,664,895.75x = 89,401,051.69 × 89,401,051.69
  4. Step 4: Simplify right side
    40,664,895.75x = 7,992,548,042,831,047
  5. Step 5: Solve for x
    x = 7,992,548,042,831,047/40,664,895.75
  6. Step 6: Final answer
    x = 196,546,625.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.