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Finding the Third Proportional to 34,605,724 and 74,682,952

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Solution

The third proportional to 34,605,724 and 74,682,952 is: 161,174,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605,724 : 74,682,952 = 74,682,952 : x
  2. Step 2: Convert to fraction form
    34,605,724/74,682,952 = 74,682,952/x
  3. Step 3: Cross multiply
    34,605,724x = 74,682,952 × 74,682,952
  4. Step 4: Simplify right side
    34,605,724x = 5,577,543,319,434,304
  5. Step 5: Solve for x
    x = 5,577,543,319,434,304/34,605,724
  6. Step 6: Final answer
    x = 161,174,010.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.