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Finding the Third Proportional to 402,783,162 and 867,543,160

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Solution

The third proportional to 402,783,162 and 867,543,160 is: 1,868,576,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,783,162 : 867,543,160 = 867,543,160 : x
  2. Step 2: Convert to fraction form
    402,783,162/867,543,160 = 867,543,160/x
  3. Step 3: Cross multiply
    402,783,162x = 867,543,160 × 867,543,160
  4. Step 4: Simplify right side
    402,783,162x = 752,631,134,462,785,536
  5. Step 5: Solve for x
    x = 752,631,134,462,785,536/402,783,162
  6. Step 6: Final answer
    x = 1,868,576,458.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.