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Finding the Third Proportional to 2,289,290,916 and 4,958,898,024

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Solution

The third proportional to 2,289,290,916 and 4,958,898,024 is: 10,741,609,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,290,916 : 4,958,898,024 = 4,958,898,024 : x
  2. Step 2: Convert to fraction form
    2,289,290,916/4,958,898,024 = 4,958,898,024/x
  3. Step 3: Cross multiply
    2,289,290,916x = 4,958,898,024 × 4,958,898,024
  4. Step 4: Simplify right side
    2,289,290,916x = 24,590,669,612,431,106,048
  5. Step 5: Solve for x
    x = 24,590,669,612,431,106,048/2,289,290,916
  6. Step 6: Final answer
    x = 10,741,609,744.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.