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Finding the Third Proportional to 4,712,638,034 and 7,028,089,602

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Solution

The third proportional to 4,712,638,034 and 7,028,089,602 is: 10,481,187,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,638,034 : 7,028,089,602 = 7,028,089,602 : x
  2. Step 2: Convert to fraction form
    4,712,638,034/7,028,089,602 = 7,028,089,602/x
  3. Step 3: Cross multiply
    4,712,638,034x = 7,028,089,602 × 7,028,089,602
  4. Step 4: Simplify right side
    4,712,638,034x = 49,394,043,453,740,515,328
  5. Step 5: Solve for x
    x = 49,394,043,453,740,515,328/4,712,638,034
  6. Step 6: Final answer
    x = 10,481,187,627.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.