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Finding the Third Proportional to 719,494,903,040 and 1,599,858,597,324

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Solution

The third proportional to 719,494,903,040 and 1,599,858,597,324 is: 3,557,422,742,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,494,903,040 : 1,599,858,597,324 = 1,599,858,597,324 : x
  2. Step 2: Convert to fraction form
    719,494,903,040/1,599,858,597,324 = 1,599,858,597,324/x
  3. Step 3: Cross multiply
    719,494,903,040x = 1,599,858,597,324 × 1,599,858,597,324
  4. Step 4: Simplify right side
    719,494,903,040x = 2,559,547,531,431,516,643,000,320
  5. Step 5: Solve for x
    x = 2,559,547,531,431,516,643,000,320/719,494,903,040
  6. Step 6: Final answer
    x = 3,557,422,742,839.39

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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.