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Finding the Third Proportional to 21,284,181 and 32,457,699

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Solution

The third proportional to 21,284,181 and 32,457,699 is: 49,496,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284,181 : 32,457,699 = 32,457,699 : x
  2. Step 2: Convert to fraction form
    21,284,181/32,457,699 = 32,457,699/x
  3. Step 3: Cross multiply
    21,284,181x = 32,457,699 × 32,457,699
  4. Step 4: Simplify right side
    21,284,181x = 1,053,502,224,374,601
  5. Step 5: Solve for x
    x = 1,053,502,224,374,601/21,284,181
  6. Step 6: Final answer
    x = 49,496,958.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.