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Finding the Third Proportional to 4,795,824 and 10,035,024

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Solution

The third proportional to 4,795,824 and 10,035,024 is: 20,997,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795,824 : 10,035,024 = 10,035,024 : x
  2. Step 2: Convert to fraction form
    4,795,824/10,035,024 = 10,035,024/x
  3. Step 3: Cross multiply
    4,795,824x = 10,035,024 × 10,035,024
  4. Step 4: Simplify right side
    4,795,824x = 100,701,706,680,576
  5. Step 5: Solve for x
    x = 100,701,706,680,576/4,795,824
  6. Step 6: Final answer
    x = 20,997,790.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.