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Finding the Third Proportional to 245,279,018 and 534,103,668

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Solution

The third proportional to 245,279,018 and 534,103,668 is: 1,163,029,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,279,018 : 534,103,668 = 534,103,668 : x
  2. Step 2: Convert to fraction form
    245,279,018/534,103,668 = 534,103,668/x
  3. Step 3: Cross multiply
    245,279,018x = 534,103,668 × 534,103,668
  4. Step 4: Simplify right side
    245,279,018x = 285,266,728,171,054,208
  5. Step 5: Solve for x
    x = 285,266,728,171,054,208/245,279,018
  6. Step 6: Final answer
    x = 1,163,029,477.60

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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.