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Finding the Third Proportional to 274,055,558 and 646,743,266

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Solution

The third proportional to 274,055,558 and 646,743,266 is: 1,526,248,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,055,558 : 646,743,266 = 646,743,266 : x
  2. Step 2: Convert to fraction form
    274,055,558/646,743,266 = 646,743,266/x
  3. Step 3: Cross multiply
    274,055,558x = 646,743,266 × 646,743,266
  4. Step 4: Simplify right side
    274,055,558x = 418,276,852,116,346,752
  5. Step 5: Solve for x
    x = 418,276,852,116,346,752/274,055,558
  6. Step 6: Final answer
    x = 1,526,248,382.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.