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Finding the Third Proportional to 368,067,184 and 787,838,288

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Solution

The third proportional to 368,067,184 and 787,838,288 is: 1,686,347,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,067,184 : 787,838,288 = 787,838,288 : x
  2. Step 2: Convert to fraction form
    368,067,184/787,838,288 = 787,838,288/x
  3. Step 3: Cross multiply
    368,067,184x = 787,838,288 × 787,838,288
  4. Step 4: Simplify right side
    368,067,184x = 620,689,168,038,770,944
  5. Step 5: Solve for x
    x = 620,689,168,038,770,944/368,067,184
  6. Step 6: Final answer
    x = 1,686,347,479.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.