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Finding the Third Proportional to 306,701,631 and 660,170,073

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Solution

The third proportional to 306,701,631 and 660,170,073 is: 1,421,004,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701,631 : 660,170,073 = 660,170,073 : x
  2. Step 2: Convert to fraction form
    306,701,631/660,170,073 = 660,170,073/x
  3. Step 3: Cross multiply
    306,701,631x = 660,170,073 × 660,170,073
  4. Step 4: Simplify right side
    306,701,631x = 435,824,525,284,825,344
  5. Step 5: Solve for x
    x = 435,824,525,284,825,344/306,701,631
  6. Step 6: Final answer
    x = 1,421,004,915.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.