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Finding the Third Proportional to 296,103,786 and 641,628,084

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Solution

The third proportional to 296,103,786 and 641,628,084 is: 1,390,345,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,103,786 : 641,628,084 = 641,628,084 : x
  2. Step 2: Convert to fraction form
    296,103,786/641,628,084 = 641,628,084/x
  3. Step 3: Cross multiply
    296,103,786x = 641,628,084 × 641,628,084
  4. Step 4: Simplify right side
    296,103,786x = 411,686,598,177,511,040
  5. Step 5: Solve for x
    x = 411,686,598,177,511,040/296,103,786
  6. Step 6: Final answer
    x = 1,390,345,607.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.