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Finding the Third Proportional to 260,882,016 and 568,641,652

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Solution

The third proportional to 260,882,016 and 568,641,652 is: 1,239,461,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,882,016 : 568,641,652 = 568,641,652 : x
  2. Step 2: Convert to fraction form
    260,882,016/568,641,652 = 568,641,652/x
  3. Step 3: Cross multiply
    260,882,016x = 568,641,652 × 568,641,652
  4. Step 4: Simplify right side
    260,882,016x = 323,353,328,389,289,088
  5. Step 5: Solve for x
    x = 323,353,328,389,289,088/260,882,016
  6. Step 6: Final answer
    x = 1,239,461,935.12

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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.