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Finding the Third Proportional to 4,712,638,047 and 7,028,089,623

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Solution

The third proportional to 4,712,638,047 and 7,028,089,623 is: 10,481,187,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,638,047 : 7,028,089,623 = 7,028,089,623 : x
  2. Step 2: Convert to fraction form
    4,712,638,047/7,028,089,623 = 7,028,089,623/x
  3. Step 3: Cross multiply
    4,712,638,047x = 7,028,089,623 × 7,028,089,623
  4. Step 4: Simplify right side
    4,712,638,047x = 49,394,043,748,920,279,040
  5. Step 5: Solve for x
    x = 49,394,043,748,920,279,040/4,712,638,047
  6. Step 6: Final answer
    x = 10,481,187,660.99

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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.