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Finding the Third Proportional to 41,892,765 and 65,385,168

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Solution

The third proportional to 41,892,765 and 65,385,168 is: 102,051,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892,765 : 65,385,168 = 65,385,168 : x
  2. Step 2: Convert to fraction form
    41,892,765/65,385,168 = 65,385,168/x
  3. Step 3: Cross multiply
    41,892,765x = 65,385,168 × 65,385,168
  4. Step 4: Simplify right side
    41,892,765x = 4,275,220,194,388,224
  5. Step 5: Solve for x
    x = 4,275,220,194,388,224/41,892,765
  6. Step 6: Final answer
    x = 102,051,516.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.