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Finding the Third Proportional to 45,672,219 and 65,988,467.25

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Solution

The third proportional to 45,672,219 and 65,988,467.25 is: 95,341,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,672,219 : 65,988,467.25 = 65,988,467.25 : x
  2. Step 2: Convert to fraction form
    45,672,219/65,988,467.25 = 65,988,467.25/x
  3. Step 3: Cross multiply
    45,672,219x = 65,988,467.25 × 65,988,467.25
  4. Step 4: Simplify right side
    45,672,219x = 4,354,477,810,004,322.50
  5. Step 5: Solve for x
    x = 4,354,477,810,004,322.50/45,672,219
  6. Step 6: Final answer
    x = 95,341,936.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.