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Finding the Third Proportional to 19,802,742.75 and 31,510,050.75

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Solution

The third proportional to 19,802,742.75 and 31,510,050.75 is: 50,138,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802,742.75 : 31,510,050.75 = 31,510,050.75 : x
  2. Step 2: Convert to fraction form
    19,802,742.75/31,510,050.75 = 31,510,050.75/x
  3. Step 3: Cross multiply
    19,802,742.75x = 31,510,050.75 × 31,510,050.75
  4. Step 4: Simplify right side
    19,802,742.75x = 992,883,298,267,575.50
  5. Step 5: Solve for x
    x = 992,883,298,267,575.50/19,802,742.75
  6. Step 6: Final answer
    x = 50,138,675.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.