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Finding the Third Proportional to 863,677,310 and 1,864,975,876

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Solution

The third proportional to 863,677,310 and 1,864,975,876 is: 4,027,123,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,677,310 : 1,864,975,876 = 1,864,975,876 : x
  2. Step 2: Convert to fraction form
    863,677,310/1,864,975,876 = 1,864,975,876/x
  3. Step 3: Cross multiply
    863,677,310x = 1,864,975,876 × 1,864,975,876
  4. Step 4: Simplify right side
    863,677,310x = 3,478,135,018,061,967,360
  5. Step 5: Solve for x
    x = 3,478,135,018,061,967,360/863,677,310
  6. Step 6: Final answer
    x = 4,027,123,299.17

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Why These Related Problems?

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