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Finding the Third Proportional to 34,477,584 and 74,185,974

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Solution

The third proportional to 34,477,584 and 74,185,974 is: 159,627,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477,584 : 74,185,974 = 74,185,974 : x
  2. Step 2: Convert to fraction form
    34,477,584/74,185,974 = 74,185,974/x
  3. Step 3: Cross multiply
    34,477,584x = 74,185,974 × 74,185,974
  4. Step 4: Simplify right side
    34,477,584x = 5,503,558,738,328,676
  5. Step 5: Solve for x
    x = 5,503,558,738,328,676/34,477,584
  6. Step 6: Final answer
    x = 159,627,157.70

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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.