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Finding the Third Proportional to 11,384,910 and 24,587,628

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Solution

The third proportional to 11,384,910 and 24,587,628 is: 53,101,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,910 : 24,587,628 = 24,587,628 : x
  2. Step 2: Convert to fraction form
    11,384,910/24,587,628 = 24,587,628/x
  3. Step 3: Cross multiply
    11,384,910x = 24,587,628 × 24,587,628
  4. Step 4: Simplify right side
    11,384,910x = 604,551,450,666,384
  5. Step 5: Solve for x
    x = 604,551,450,666,384/11,384,910
  6. Step 6: Final answer
    x = 53,101,118.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.