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Finding the Third Proportional to 306,701,664.75 and 660,170,157.75

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Solution

The third proportional to 306,701,664.75 and 660,170,157.75 is: 1,421,005,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701,664.75 : 660,170,157.75 = 660,170,157.75 : x
  2. Step 2: Convert to fraction form
    306,701,664.75/660,170,157.75 = 660,170,157.75/x
  3. Step 3: Cross multiply
    306,701,664.75x = 660,170,157.75 × 660,170,157.75
  4. Step 4: Simplify right side
    306,701,664.75x = 435,824,637,183,659,904
  5. Step 5: Solve for x
    x = 435,824,637,183,659,904/306,701,664.75
  6. Step 6: Final answer
    x = 1,421,005,124.11

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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.