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Finding the Third Proportional to 11,099,547 and 23,413,752

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Solution

The third proportional to 11,099,547 and 23,413,752 is: 49,389,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099,547 : 23,413,752 = 23,413,752 : x
  2. Step 2: Convert to fraction form
    11,099,547/23,413,752 = 23,413,752/x
  3. Step 3: Cross multiply
    11,099,547x = 23,413,752 × 23,413,752
  4. Step 4: Simplify right side
    11,099,547x = 548,203,782,717,504
  5. Step 5: Solve for x
    x = 548,203,782,717,504/11,099,547
  6. Step 6: Final answer
    x = 49,389,743.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.