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Finding the Third Proportional to 13,187,520 and 27,792,000

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Solution

The third proportional to 13,187,520 and 27,792,000 is: 58,570,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187,520 : 27,792,000 = 27,792,000 : x
  2. Step 2: Convert to fraction form
    13,187,520/27,792,000 = 27,792,000/x
  3. Step 3: Cross multiply
    13,187,520x = 27,792,000 × 27,792,000
  4. Step 4: Simplify right side
    13,187,520x = 772,395,264,000,000
  5. Step 5: Solve for x
    x = 772,395,264,000,000/13,187,520
  6. Step 6: Final answer
    x = 58,570,168.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.