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Finding the Third Proportional to 823,204,369,877 and 1,783,168,113,322

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Solution

The third proportional to 823,204,369,877 and 1,783,168,113,322 is: 3,862,574,880,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,204,369,877 : 1,783,168,113,322 = 1,783,168,113,322 : x
  2. Step 2: Convert to fraction form
    823,204,369,877/1,783,168,113,322 = 1,783,168,113,322/x
  3. Step 3: Cross multiply
    823,204,369,877x = 1,783,168,113,322 × 1,783,168,113,322
  4. Step 4: Simplify right side
    823,204,369,877x = 3,179,688,520,368,341,280,358,400
  5. Step 5: Solve for x
    x = 3,179,688,520,368,341,280,358,400/823,204,369,877
  6. Step 6: Final answer
    x = 3,862,574,880,212.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.