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Finding the Third Proportional to 31,552,769 and 49,322,024

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Solution

The third proportional to 31,552,769 and 49,322,024 is: 77,098,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552,769 : 49,322,024 = 49,322,024 : x
  2. Step 2: Convert to fraction form
    31,552,769/49,322,024 = 49,322,024/x
  3. Step 3: Cross multiply
    31,552,769x = 49,322,024 × 49,322,024
  4. Step 4: Simplify right side
    31,552,769x = 2,432,662,051,456,576
  5. Step 5: Solve for x
    x = 2,432,662,051,456,576/31,552,769
  6. Step 6: Final answer
    x = 77,098,211.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.