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Finding the Third Proportional to 12,407,827.50 and 27,264,822

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Solution

The third proportional to 12,407,827.50 and 27,264,822 is: 59,911,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,827.50 : 27,264,822 = 27,264,822 : x
  2. Step 2: Convert to fraction form
    12,407,827.50/27,264,822 = 27,264,822/x
  3. Step 3: Cross multiply
    12,407,827.50x = 27,264,822 × 27,264,822
  4. Step 4: Simplify right side
    12,407,827.50x = 743,370,518,691,684
  5. Step 5: Solve for x
    x = 743,370,518,691,684/12,407,827.50
  6. Step 6: Final answer
    x = 59,911,416.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.