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Finding the Third Proportional to 11,697,058 and 26,083,580

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Solution

The third proportional to 11,697,058 and 26,083,580 is: 58,164,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697,058 : 26,083,580 = 26,083,580 : x
  2. Step 2: Convert to fraction form
    11,697,058/26,083,580 = 26,083,580/x
  3. Step 3: Cross multiply
    11,697,058x = 26,083,580 × 26,083,580
  4. Step 4: Simplify right side
    11,697,058x = 680,353,145,616,400
  5. Step 5: Solve for x
    x = 680,353,145,616,400/11,697,058
  6. Step 6: Final answer
    x = 58,164,467.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.