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Finding the Third Proportional to 19,540,991.81 and 41,765,569.31

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Solution

The third proportional to 19,540,991.81 and 41,765,569.31 is: 89,266,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540,991.81 : 41,765,569.31 = 41,765,569.31 : x
  2. Step 2: Convert to fraction form
    19,540,991.81/41,765,569.31 = 41,765,569.31/x
  3. Step 3: Cross multiply
    19,540,991.81x = 41,765,569.31 × 41,765,569.31
  4. Step 4: Simplify right side
    19,540,991.81x = 1,744,362,779,997,241.75
  5. Step 5: Solve for x
    x = 1,744,362,779,997,241.75/19,540,991.81
  6. Step 6: Final answer
    x = 89,266,849.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.