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Finding the Third Proportional to 16,089,408,601.59 and 25,111,744,241.34

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Solution

The third proportional to 16,089,408,601.59 and 25,111,744,241.34 is: 39,193,466,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089,408,601.59 : 25,111,744,241.34 = 25,111,744,241.34 : x
  2. Step 2: Convert to fraction form
    16,089,408,601.59/25,111,744,241.34 = 25,111,744,241.34/x
  3. Step 3: Cross multiply
    16,089,408,601.59x = 25,111,744,241.34 × 25,111,744,241.34
  4. Step 4: Simplify right side
    16,089,408,601.59x = 630,599,698,842,673,610,752
  5. Step 5: Solve for x
    x = 630,599,698,842,673,610,752/16,089,408,601.59
  6. Step 6: Final answer
    x = 39,193,466,612.58

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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.