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Finding the Third Proportional to 949,697,703 and 2,061,828,265.50

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Solution

The third proportional to 949,697,703 and 2,061,828,265.50 is: 4,476,304,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,697,703 : 2,061,828,265.50 = 2,061,828,265.50 : x
  2. Step 2: Convert to fraction form
    949,697,703/2,061,828,265.50 = 2,061,828,265.50/x
  3. Step 3: Cross multiply
    949,697,703x = 2,061,828,265.50 × 2,061,828,265.50
  4. Step 4: Simplify right side
    949,697,703x = 4,251,135,796,414,738,432
  5. Step 5: Solve for x
    x = 4,251,135,796,414,738,432/949,697,703
  6. Step 6: Final answer
    x = 4,476,304,178.67

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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.