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Finding the Third Proportional to 527,324,013 and 1,114,435,017

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Solution

The third proportional to 527,324,013 and 1,114,435,017 is: 2,355,222,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,324,013 : 1,114,435,017 = 1,114,435,017 : x
  2. Step 2: Convert to fraction form
    527,324,013/1,114,435,017 = 1,114,435,017/x
  3. Step 3: Cross multiply
    527,324,013x = 1,114,435,017 × 1,114,435,017
  4. Step 4: Simplify right side
    527,324,013x = 1,241,965,407,115,790,336
  5. Step 5: Solve for x
    x = 1,241,965,407,115,790,336/527,324,013
  6. Step 6: Final answer
    x = 2,355,222,551.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.