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Finding the Third Proportional to 3,589,793,400 and 5,514,362,184

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Solution

The third proportional to 3,589,793,400 and 5,514,362,184 is: 8,470,735,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,793,400 : 5,514,362,184 = 5,514,362,184 : x
  2. Step 2: Convert to fraction form
    3,589,793,400/5,514,362,184 = 5,514,362,184/x
  3. Step 3: Cross multiply
    3,589,793,400x = 5,514,362,184 × 5,514,362,184
  4. Step 4: Simplify right side
    3,589,793,400x = 30,408,190,296,329,248,768
  5. Step 5: Solve for x
    x = 30,408,190,296,329,248,768/3,589,793,400
  6. Step 6: Final answer
    x = 8,470,735,473.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.