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Finding the Third Proportional to 34,162,740 and 74,629,224

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Solution

The third proportional to 34,162,740 and 74,629,224 is: 163,029,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162,740 : 74,629,224 = 74,629,224 : x
  2. Step 2: Convert to fraction form
    34,162,740/74,629,224 = 74,629,224/x
  3. Step 3: Cross multiply
    34,162,740x = 74,629,224 × 74,629,224
  4. Step 4: Simplify right side
    34,162,740x = 5,569,521,074,842,176
  5. Step 5: Solve for x
    x = 5,569,521,074,842,176/34,162,740
  6. Step 6: Final answer
    x = 163,029,109.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.