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Finding the Third Proportional to 5,407,515 and 11,582,640

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Solution

The third proportional to 5,407,515 and 11,582,640 is: 24,809,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,515 : 11,582,640 = 11,582,640 : x
  2. Step 2: Convert to fraction form
    5,407,515/11,582,640 = 11,582,640/x
  3. Step 3: Cross multiply
    5,407,515x = 11,582,640 × 11,582,640
  4. Step 4: Simplify right side
    5,407,515x = 134,157,549,369,600
  5. Step 5: Solve for x
    x = 134,157,549,369,600/5,407,515
  6. Step 6: Final answer
    x = 24,809,464.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.