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Finding the Third Proportional to 240,247,296 and 524,532,024

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Solution

The third proportional to 240,247,296 and 524,532,024 is: 1,145,210,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,247,296 : 524,532,024 = 524,532,024 : x
  2. Step 2: Convert to fraction form
    240,247,296/524,532,024 = 524,532,024/x
  3. Step 3: Cross multiply
    240,247,296x = 524,532,024 × 524,532,024
  4. Step 4: Simplify right side
    240,247,296x = 275,133,844,201,536,576
  5. Step 5: Solve for x
    x = 275,133,844,201,536,576/240,247,296
  6. Step 6: Final answer
    x = 1,145,210,992.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.