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Finding the Third Proportional to 403,311,282 and 867,913,794

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Solution

The third proportional to 403,311,282 and 867,913,794 is: 1,867,724,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,311,282 : 867,913,794 = 867,913,794 : x
  2. Step 2: Convert to fraction form
    403,311,282/867,913,794 = 867,913,794/x
  3. Step 3: Cross multiply
    403,311,282x = 867,913,794 × 867,913,794
  4. Step 4: Simplify right side
    403,311,282x = 753,274,353,815,474,432
  5. Step 5: Solve for x
    x = 753,274,353,815,474,432/403,311,282
  6. Step 6: Final answer
    x = 1,867,724,478.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.