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Finding the Third Proportional to 31,419,564.75 and 49,038,860.25

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Solution

The third proportional to 31,419,564.75 and 49,038,860.25 is: 76,538,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419,564.75 : 49,038,860.25 = 49,038,860.25 : x
  2. Step 2: Convert to fraction form
    31,419,564.75/49,038,860.25 = 49,038,860.25/x
  3. Step 3: Cross multiply
    31,419,564.75x = 49,038,860.25 × 49,038,860.25
  4. Step 4: Simplify right side
    31,419,564.75x = 2,404,809,814,619,030
  5. Step 5: Solve for x
    x = 2,404,809,814,619,030/31,419,564.75
  6. Step 6: Final answer
    x = 76,538,610.06

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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.