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Finding the Third Proportional to 682,407,342 and 1,473,552,000

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Solution

The third proportional to 682,407,342 and 1,473,552,000 is: 3,181,905,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,407,342 : 1,473,552,000 = 1,473,552,000 : x
  2. Step 2: Convert to fraction form
    682,407,342/1,473,552,000 = 1,473,552,000/x
  3. Step 3: Cross multiply
    682,407,342x = 1,473,552,000 × 1,473,552,000
  4. Step 4: Simplify right side
    682,407,342x = 2,171,355,496,704,000,000
  5. Step 5: Solve for x
    x = 2,171,355,496,704,000,000/682,407,342
  6. Step 6: Final answer
    x = 3,181,905,239.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.