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Finding the Third Proportional to 34,778,816 and 76,276,096

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Solution

The third proportional to 34,778,816 and 76,276,096 is: 167,286,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778,816 : 76,276,096 = 76,276,096 : x
  2. Step 2: Convert to fraction form
    34,778,816/76,276,096 = 76,276,096/x
  3. Step 3: Cross multiply
    34,778,816x = 76,276,096 × 76,276,096
  4. Step 4: Simplify right side
    34,778,816x = 5,818,042,821,001,216
  5. Step 5: Solve for x
    x = 5,818,042,821,001,216/34,778,816
  6. Step 6: Final answer
    x = 167,286,972.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.