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Finding the Third Proportional to 5,787,724 and 8,514,293

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Solution

The third proportional to 5,787,724 and 8,514,293 is: 12,525,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,724 : 8,514,293 = 8,514,293 : x
  2. Step 2: Convert to fraction form
    5,787,724/8,514,293 = 8,514,293/x
  3. Step 3: Cross multiply
    5,787,724x = 8,514,293 × 8,514,293
  4. Step 4: Simplify right side
    5,787,724x = 72,493,185,289,849
  5. Step 5: Solve for x
    x = 72,493,185,289,849/5,787,724
  6. Step 6: Final answer
    x = 12,525,335.57

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