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Finding the Third Proportional to 4,029,200,871.75 and 8,670,621,775.25

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Solution

The third proportional to 4,029,200,871.75 and 8,670,621,775.25 is: 18,658,707,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029,200,871.75 : 8,670,621,775.25 = 8,670,621,775.25 : x
  2. Step 2: Convert to fraction form
    4,029,200,871.75/8,670,621,775.25 = 8,670,621,775.25/x
  3. Step 3: Cross multiply
    4,029,200,871.75x = 8,670,621,775.25 × 8,670,621,775.25
  4. Step 4: Simplify right side
    4,029,200,871.75x = 75,179,681,969,439,457,280
  5. Step 5: Solve for x
    x = 75,179,681,969,439,457,280/4,029,200,871.75
  6. Step 6: Final answer
    x = 18,658,707,858.56

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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.