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Finding the Third Proportional to 10,058,816 and 20,582,464

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Solution

The third proportional to 10,058,816 and 20,582,464 is: 42,116,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058,816 : 20,582,464 = 20,582,464 : x
  2. Step 2: Convert to fraction form
    10,058,816/20,582,464 = 20,582,464/x
  3. Step 3: Cross multiply
    10,058,816x = 20,582,464 × 20,582,464
  4. Step 4: Simplify right side
    10,058,816x = 423,637,824,311,296
  5. Step 5: Solve for x
    x = 423,637,824,311,296/10,058,816
  6. Step 6: Final answer
    x = 42,116,072.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.