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Finding the Third Proportional to 264,159,036 and 400,227,638

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Solution

The third proportional to 264,159,036 and 400,227,638 is: 606,385,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,159,036 : 400,227,638 = 400,227,638 : x
  2. Step 2: Convert to fraction form
    264,159,036/400,227,638 = 400,227,638/x
  3. Step 3: Cross multiply
    264,159,036x = 400,227,638 × 400,227,638
  4. Step 4: Simplify right side
    264,159,036x = 160,182,162,219,059,040
  5. Step 5: Solve for x
    x = 160,182,162,219,059,040/264,159,036
  6. Step 6: Final answer
    x = 606,385,322.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.