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Finding the Third Proportional to 3,945,772,619 and 8,586,160,160

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Solution

The third proportional to 3,945,772,619 and 8,586,160,160 is: 18,683,830,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945,772,619 : 8,586,160,160 = 8,586,160,160 : x
  2. Step 2: Convert to fraction form
    3,945,772,619/8,586,160,160 = 8,586,160,160/x
  3. Step 3: Cross multiply
    3,945,772,619x = 8,586,160,160 × 8,586,160,160
  4. Step 4: Simplify right side
    3,945,772,619x = 73,722,146,293,171,224,576
  5. Step 5: Solve for x
    x = 73,722,146,293,171,224,576/3,945,772,619
  6. Step 6: Final answer
    x = 18,683,830,370.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.