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Finding the Third Proportional to 10,997,746 and 24,147,284

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Solution

The third proportional to 10,997,746 and 24,147,284 is: 53,019,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997,746 : 24,147,284 = 24,147,284 : x
  2. Step 2: Convert to fraction form
    10,997,746/24,147,284 = 24,147,284/x
  3. Step 3: Cross multiply
    10,997,746x = 24,147,284 × 24,147,284
  4. Step 4: Simplify right side
    10,997,746x = 583,091,324,576,656
  5. Step 5: Solve for x
    x = 583,091,324,576,656/10,997,746
  6. Step 6: Final answer
    x = 53,019,166.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.