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Finding the Third Proportional to 34,025,772 and 74,665,320

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Solution

The third proportional to 34,025,772 and 74,665,320 is: 163,843,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,025,772 : 74,665,320 = 74,665,320 : x
  2. Step 2: Convert to fraction form
    34,025,772/74,665,320 = 74,665,320/x
  3. Step 3: Cross multiply
    34,025,772x = 74,665,320 × 74,665,320
  4. Step 4: Simplify right side
    34,025,772x = 5,574,910,010,702,400
  5. Step 5: Solve for x
    x = 5,574,910,010,702,400/34,025,772
  6. Step 6: Final answer
    x = 163,843,747.93

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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.