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Finding the Third Proportional to 297,362,016 and 637,770,240

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Solution

The third proportional to 297,362,016 and 637,770,240 is: 1,367,864,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,362,016 : 637,770,240 = 637,770,240 : x
  2. Step 2: Convert to fraction form
    297,362,016/637,770,240 = 637,770,240/x
  3. Step 3: Cross multiply
    297,362,016x = 637,770,240 × 637,770,240
  4. Step 4: Simplify right side
    297,362,016x = 406,750,879,029,657,600
  5. Step 5: Solve for x
    x = 406,750,879,029,657,600/297,362,016
  6. Step 6: Final answer
    x = 1,367,864,277.02

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