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Finding the Third Proportional to 1,313,520,410 and 2,855,672,716

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Solution

The third proportional to 1,313,520,410 and 2,855,672,716 is: 6,208,404,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,520,410 : 2,855,672,716 = 2,855,672,716 : x
  2. Step 2: Convert to fraction form
    1,313,520,410/2,855,672,716 = 2,855,672,716/x
  3. Step 3: Cross multiply
    1,313,520,410x = 2,855,672,716 × 2,855,672,716
  4. Step 4: Simplify right side
    1,313,520,410x = 8,154,866,660,906,816,512
  5. Step 5: Solve for x
    x = 8,154,866,660,906,816,512/1,313,520,410
  6. Step 6: Final answer
    x = 6,208,404,984.67

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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.