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Finding the Third Proportional to 13,187,534 and 27,792,026

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Solution

The third proportional to 13,187,534 and 27,792,026 is: 58,570,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187,534 : 27,792,026 = 27,792,026 : x
  2. Step 2: Convert to fraction form
    13,187,534/27,792,026 = 27,792,026/x
  3. Step 3: Cross multiply
    13,187,534x = 27,792,026 × 27,792,026
  4. Step 4: Simplify right side
    13,187,534x = 772,396,709,184,676
  5. Step 5: Solve for x
    x = 772,396,709,184,676/13,187,534
  6. Step 6: Final answer
    x = 58,570,215.57

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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.