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Finding the Third Proportional to 64,477,015 and 141,620,709.75

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Solution

The third proportional to 64,477,015 and 141,620,709.75 is: 311,063,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,477,015 : 141,620,709.75 = 141,620,709.75 : x
  2. Step 2: Convert to fraction form
    64,477,015/141,620,709.75 = 141,620,709.75/x
  3. Step 3: Cross multiply
    64,477,015x = 141,620,709.75 × 141,620,709.75
  4. Step 4: Simplify right side
    64,477,015x = 20,056,425,430,093,744
  5. Step 5: Solve for x
    x = 20,056,425,430,093,744/64,477,015
  6. Step 6: Final answer
    x = 311,063,181.66

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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.