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Finding the Third Proportional to 3,972,672,106.88 and 8,515,721,562.75

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Solution

The third proportional to 3,972,672,106.88 and 8,515,721,562.75 is: 18,254,089,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972,672,106.88 : 8,515,721,562.75 = 8,515,721,562.75 : x
  2. Step 2: Convert to fraction form
    3,972,672,106.88/8,515,721,562.75 = 8,515,721,562.75/x
  3. Step 3: Cross multiply
    3,972,672,106.88x = 8,515,721,562.75 × 8,515,721,562.75
  4. Step 4: Simplify right side
    3,972,672,106.88x = 72,517,513,734,285,303,808
  5. Step 5: Solve for x
    x = 72,517,513,734,285,303,808/3,972,672,106.88
  6. Step 6: Final answer
    x = 18,254,089,887.96

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Why These Related Problems?

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