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Finding the Third Proportional to 653,040,868 and 1,420,867,880

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Solution

The third proportional to 653,040,868 and 1,420,867,880 is: 3,091,484,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,040,868 : 1,420,867,880 = 1,420,867,880 : x
  2. Step 2: Convert to fraction form
    653,040,868/1,420,867,880 = 1,420,867,880/x
  3. Step 3: Cross multiply
    653,040,868x = 1,420,867,880 × 1,420,867,880
  4. Step 4: Simplify right side
    653,040,868x = 2,018,865,532,415,694,336
  5. Step 5: Solve for x
    x = 2,018,865,532,415,694,336/653,040,868
  6. Step 6: Final answer
    x = 3,091,484,210.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.