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Finding the Third Proportional to 5,911,024 and 12,733,904

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Solution

The third proportional to 5,911,024 and 12,733,904 is: 27,432,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911,024 : 12,733,904 = 12,733,904 : x
  2. Step 2: Convert to fraction form
    5,911,024/12,733,904 = 12,733,904/x
  3. Step 3: Cross multiply
    5,911,024x = 12,733,904 × 12,733,904
  4. Step 4: Simplify right side
    5,911,024x = 162,152,311,081,216
  5. Step 5: Solve for x
    x = 162,152,311,081,216/5,911,024
  6. Step 6: Final answer
    x = 27,432,186.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.