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Finding the Third Proportional to 31,905,116 and 69,584,722

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Solution

The third proportional to 31,905,116 and 69,584,722 is: 151,763,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905,116 : 69,584,722 = 69,584,722 : x
  2. Step 2: Convert to fraction form
    31,905,116/69,584,722 = 69,584,722/x
  3. Step 3: Cross multiply
    31,905,116x = 69,584,722 × 69,584,722
  4. Step 4: Simplify right side
    31,905,116x = 4,842,033,535,817,284
  5. Step 5: Solve for x
    x = 4,842,033,535,817,284/31,905,116
  6. Step 6: Final answer
    x = 151,763,545.88

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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.