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Finding the Third Proportional to 474,761,755 and 1,012,233,062

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Solution

The third proportional to 474,761,755 and 1,012,233,062 is: 2,158,168,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,755 : 1,012,233,062 = 1,012,233,062 : x
  2. Step 2: Convert to fraction form
    474,761,755/1,012,233,062 = 1,012,233,062/x
  3. Step 3: Cross multiply
    474,761,755x = 1,012,233,062 × 1,012,233,062
  4. Step 4: Simplify right side
    474,761,755x = 1,024,615,771,805,895,808
  5. Step 5: Solve for x
    x = 1,024,615,771,805,895,808/474,761,755
  6. Step 6: Final answer
    x = 2,158,168,304.45

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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.