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Finding the Third Proportional to 34,534,215 and 74,294,268.75

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Solution

The third proportional to 34,534,215 and 74,294,268.75 is: 159,831,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534,215 : 74,294,268.75 = 74,294,268.75 : x
  2. Step 2: Convert to fraction form
    34,534,215/74,294,268.75 = 74,294,268.75/x
  3. Step 3: Cross multiply
    34,534,215x = 74,294,268.75 × 74,294,268.75
  4. Step 4: Simplify right side
    34,534,215x = 5,519,638,369,097,227
  5. Step 5: Solve for x
    x = 5,519,638,369,097,227/34,534,215
  6. Step 6: Final answer
    x = 159,831,007.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.