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Finding the Third Proportional to 226,165,556 and 492,378,970

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Solution

The third proportional to 226,165,556 and 492,378,970 is: 1,071,945,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,165,556 : 492,378,970 = 492,378,970 : x
  2. Step 2: Convert to fraction form
    226,165,556/492,378,970 = 492,378,970/x
  3. Step 3: Cross multiply
    226,165,556x = 492,378,970 × 492,378,970
  4. Step 4: Simplify right side
    226,165,556x = 242,437,050,098,260,896
  5. Step 5: Solve for x
    x = 242,437,050,098,260,896/226,165,556
  6. Step 6: Final answer
    x = 1,071,945,058.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.