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Finding the Third Proportional to 5,827,284 and 11,885,688

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Solution

The third proportional to 5,827,284 and 11,885,688 is: 24,242,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827,284 : 11,885,688 = 11,885,688 : x
  2. Step 2: Convert to fraction form
    5,827,284/11,885,688 = 11,885,688/x
  3. Step 3: Cross multiply
    5,827,284x = 11,885,688 × 11,885,688
  4. Step 4: Simplify right side
    5,827,284x = 141,269,579,233,344
  5. Step 5: Solve for x
    x = 141,269,579,233,344/5,827,284
  6. Step 6: Final answer
    x = 24,242,782.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.