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Finding the Third Proportional to 474,761,744 and 1,012,233,040

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Solution

The third proportional to 474,761,744 and 1,012,233,040 is: 2,158,168,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,744 : 1,012,233,040 = 1,012,233,040 : x
  2. Step 2: Convert to fraction form
    474,761,744/1,012,233,040 = 1,012,233,040/x
  3. Step 3: Cross multiply
    474,761,744x = 1,012,233,040 × 1,012,233,040
  4. Step 4: Simplify right side
    474,761,744x = 1,024,615,727,267,641,600
  5. Step 5: Solve for x
    x = 1,024,615,727,267,641,600/474,761,744
  6. Step 6: Final answer
    x = 2,158,168,260.64

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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.