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Finding the Third Proportional to 1,539,755,072 and 3,161,137,072

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Solution

The third proportional to 1,539,755,072 and 3,161,137,072 is: 6,489,855,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,755,072 : 3,161,137,072 = 3,161,137,072 : x
  2. Step 2: Convert to fraction form
    1,539,755,072/3,161,137,072 = 3,161,137,072/x
  3. Step 3: Cross multiply
    1,539,755,072x = 3,161,137,072 × 3,161,137,072
  4. Step 4: Simplify right side
    1,539,755,072x = 9,992,787,587,972,732,928
  5. Step 5: Solve for x
    x = 9,992,787,587,972,732,928/1,539,755,072
  6. Step 6: Final answer
    x = 6,489,855,282.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.