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Finding the Third Proportional to 5,788,668 and 8,509,569

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Solution

The third proportional to 5,788,668 and 8,509,569 is: 12,509,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,668 : 8,509,569 = 8,509,569 : x
  2. Step 2: Convert to fraction form
    5,788,668/8,509,569 = 8,509,569/x
  3. Step 3: Cross multiply
    5,788,668x = 8,509,569 × 8,509,569
  4. Step 4: Simplify right side
    5,788,668x = 72,412,764,565,761
  5. Step 5: Solve for x
    x = 72,412,764,565,761/5,788,668
  6. Step 6: Final answer
    x = 12,509,400.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.