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Finding the Third Proportional to 402,783,174 and 867,543,194

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Solution

The third proportional to 402,783,174 and 867,543,194 is: 1,868,576,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,783,174 : 867,543,194 = 867,543,194 : x
  2. Step 2: Convert to fraction form
    402,783,174/867,543,194 = 867,543,194/x
  3. Step 3: Cross multiply
    402,783,174x = 867,543,194 × 867,543,194
  4. Step 4: Simplify right side
    402,783,174x = 752,631,193,455,721,600
  5. Step 5: Solve for x
    x = 752,631,193,455,721,600/402,783,174
  6. Step 6: Final answer
    x = 1,868,576,549.47

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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.