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Finding the Third Proportional to 712,394,424 and 1,089,777,829.50

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Solution

The third proportional to 712,394,424 and 1,089,777,829.50 is: 1,667,076,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,394,424 : 1,089,777,829.50 = 1,089,777,829.50 : x
  2. Step 2: Convert to fraction form
    712,394,424/1,089,777,829.50 = 1,089,777,829.50/x
  3. Step 3: Cross multiply
    712,394,424x = 1,089,777,829.50 × 1,089,777,829.50
  4. Step 4: Simplify right side
    712,394,424x = 1,187,615,717,669,731,072
  5. Step 5: Solve for x
    x = 1,187,615,717,669,731,072/712,394,424
  6. Step 6: Final answer
    x = 1,667,076,099.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.