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Finding the Third Proportional to 3,889,659,531,533.70 and 8,648,991,419,287.10

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Solution

The third proportional to 3,889,659,531,533.70 and 8,648,991,419,287.10 is: 19,231,773,877,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889,659,531,533.70 : 8,648,991,419,287.10 = 8,648,991,419,287.10 : x
  2. Step 2: Convert to fraction form
    3,889,659,531,533.70/8,648,991,419,287.10 = 8,648,991,419,287.10/x
  3. Step 3: Cross multiply
    3,889,659,531,533.70x = 8,648,991,419,287.10 × 8,648,991,419,287.10
  4. Step 4: Simplify right side
    3,889,659,531,533.70x = 74,805,052,570,901,880,965,693,440
  5. Step 5: Solve for x
    x = 74,805,052,570,901,880,965,693,440/3,889,659,531,533.70
  6. Step 6: Final answer
    x = 19,231,773,877,495.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.