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Finding the Third Proportional to 11,579,849 and 24,749,971

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Solution

The third proportional to 11,579,849 and 24,749,971 is: 52,898,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579,849 : 24,749,971 = 24,749,971 : x
  2. Step 2: Convert to fraction form
    11,579,849/24,749,971 = 24,749,971/x
  3. Step 3: Cross multiply
    11,579,849x = 24,749,971 × 24,749,971
  4. Step 4: Simplify right side
    11,579,849x = 612,561,064,500,841
  5. Step 5: Solve for x
    x = 612,561,064,500,841/11,579,849
  6. Step 6: Final answer
    x = 52,898,881.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.