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Finding the Third Proportional to 17,389,084,266 and 38,194,304,082

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Solution

The third proportional to 17,389,084,266 and 38,194,304,082 is: 83,891,988,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389,084,266 : 38,194,304,082 = 38,194,304,082 : x
  2. Step 2: Convert to fraction form
    17,389,084,266/38,194,304,082 = 38,194,304,082/x
  3. Step 3: Cross multiply
    17,389,084,266x = 38,194,304,082 × 38,194,304,082
  4. Step 4: Simplify right side
    17,389,084,266x = 1,458,804,864,308,281,868,288
  5. Step 5: Solve for x
    x = 1,458,804,864,308,281,868,288/17,389,084,266
  6. Step 6: Final answer
    x = 83,891,988,904.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.