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Finding the Third Proportional to 474,761,740 and 1,012,233,032

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Solution

The third proportional to 474,761,740 and 1,012,233,032 is: 2,158,168,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,740 : 1,012,233,032 = 1,012,233,032 : x
  2. Step 2: Convert to fraction form
    474,761,740/1,012,233,032 = 1,012,233,032/x
  3. Step 3: Cross multiply
    474,761,740x = 1,012,233,032 × 1,012,233,032
  4. Step 4: Simplify right side
    474,761,740x = 1,024,615,711,071,912,960
  5. Step 5: Solve for x
    x = 1,024,615,711,071,912,960/474,761,740
  6. Step 6: Final answer
    x = 2,158,168,244.71

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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.