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Finding the Third Proportional to 11,384,905 and 24,587,617

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Solution

The third proportional to 11,384,905 and 24,587,617 is: 53,101,093.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,905 : 24,587,617 = 24,587,617 : x
  2. Step 2: Convert to fraction form
    11,384,905/24,587,617 = 24,587,617/x
  3. Step 3: Cross multiply
    11,384,905x = 24,587,617 × 24,587,617
  4. Step 4: Simplify right side
    11,384,905x = 604,550,909,738,689
  5. Step 5: Solve for x
    x = 604,550,909,738,689/11,384,905
  6. Step 6: Final answer
    x = 53,101,093.93

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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.