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Finding the Third Proportional to 4,593,058 and 10,728,047

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Solution

The third proportional to 4,593,058 and 10,728,047 is: 25,057,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593,058 : 10,728,047 = 10,728,047 : x
  2. Step 2: Convert to fraction form
    4,593,058/10,728,047 = 10,728,047/x
  3. Step 3: Cross multiply
    4,593,058x = 10,728,047 × 10,728,047
  4. Step 4: Simplify right side
    4,593,058x = 115,090,992,434,209
  5. Step 5: Solve for x
    x = 115,090,992,434,209/4,593,058
  6. Step 6: Final answer
    x = 25,057,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.