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Finding the Third Proportional to 645,988,100 and 1,417,040,887.50

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Solution

The third proportional to 645,988,100 and 1,417,040,887.50 is: 3,108,423,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988,100 : 1,417,040,887.50 = 1,417,040,887.50 : x
  2. Step 2: Convert to fraction form
    645,988,100/1,417,040,887.50 = 1,417,040,887.50/x
  3. Step 3: Cross multiply
    645,988,100x = 1,417,040,887.50 × 1,417,040,887.50
  4. Step 4: Simplify right side
    645,988,100x = 2,008,004,876,846,787,584
  5. Step 5: Solve for x
    x = 2,008,004,876,846,787,584/645,988,100
  6. Step 6: Final answer
    x = 3,108,423,942.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.