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Finding the Third Proportional to 74,048,116 and 159,475,374

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Solution

The third proportional to 74,048,116 and 159,475,374 is: 343,457,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048,116 : 159,475,374 = 159,475,374 : x
  2. Step 2: Convert to fraction form
    74,048,116/159,475,374 = 159,475,374/x
  3. Step 3: Cross multiply
    74,048,116x = 159,475,374 × 159,475,374
  4. Step 4: Simplify right side
    74,048,116x = 25,432,394,912,439,876
  5. Step 5: Solve for x
    x = 25,432,394,912,439,876/74,048,116
  6. Step 6: Final answer
    x = 343,457,690.57

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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.