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Finding the Third Proportional to 240,247,307 and 524,532,045

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Solution

The third proportional to 240,247,307 and 524,532,045 is: 1,145,211,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,247,307 : 524,532,045 = 524,532,045 : x
  2. Step 2: Convert to fraction form
    240,247,307/524,532,045 = 524,532,045/x
  3. Step 3: Cross multiply
    240,247,307x = 524,532,045 × 524,532,045
  4. Step 4: Simplify right side
    240,247,307x = 275,133,866,231,882,016
  5. Step 5: Solve for x
    x = 275,133,866,231,882,016/240,247,307
  6. Step 6: Final answer
    x = 1,145,211,031.36

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