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Finding the Third Proportional to 4,029,200,908 and 8,670,621,854

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Solution

The third proportional to 4,029,200,908 and 8,670,621,854 is: 18,658,708,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029,200,908 : 8,670,621,854 = 8,670,621,854 : x
  2. Step 2: Convert to fraction form
    4,029,200,908/8,670,621,854 = 8,670,621,854/x
  3. Step 3: Cross multiply
    4,029,200,908x = 8,670,621,854 × 8,670,621,854
  4. Step 4: Simplify right side
    4,029,200,908x = 75,179,683,335,062,405,120
  5. Step 5: Solve for x
    x = 75,179,683,335,062,405,120/4,029,200,908
  6. Step 6: Final answer
    x = 18,658,708,029.62

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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.