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Finding the Third Proportional to 297,362,018 and 637,770,244

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Solution

The third proportional to 297,362,018 and 637,770,244 is: 1,367,864,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,362,018 : 637,770,244 = 637,770,244 : x
  2. Step 2: Convert to fraction form
    297,362,018/637,770,244 = 637,770,244/x
  3. Step 3: Cross multiply
    297,362,018x = 637,770,244 × 637,770,244
  4. Step 4: Simplify right side
    297,362,018x = 406,750,884,131,819,520
  5. Step 5: Solve for x
    x = 406,750,884,131,819,520/297,362,018
  6. Step 6: Final answer
    x = 1,367,864,284.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.