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Finding the Third Proportional to 23,471,874 and 35,905,221

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Solution

The third proportional to 23,471,874 and 35,905,221 is: 54,924,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471,874 : 35,905,221 = 35,905,221 : x
  2. Step 2: Convert to fraction form
    23,471,874/35,905,221 = 35,905,221/x
  3. Step 3: Cross multiply
    23,471,874x = 35,905,221 × 35,905,221
  4. Step 4: Simplify right side
    23,471,874x = 1,289,184,895,058,841
  5. Step 5: Solve for x
    x = 1,289,184,895,058,841/23,471,874
  6. Step 6: Final answer
    x = 54,924,668.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.