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Finding the Third Proportional to 474,761,753 and 1,012,233,058

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Solution

The third proportional to 474,761,753 and 1,012,233,058 is: 2,158,168,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,753 : 1,012,233,058 = 1,012,233,058 : x
  2. Step 2: Convert to fraction form
    474,761,753/1,012,233,058 = 1,012,233,058/x
  3. Step 3: Cross multiply
    474,761,753x = 1,012,233,058 × 1,012,233,058
  4. Step 4: Simplify right side
    474,761,753x = 1,024,615,763,708,031,360
  5. Step 5: Solve for x
    x = 1,024,615,763,708,031,360/474,761,753
  6. Step 6: Final answer
    x = 2,158,168,296.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.