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Finding the Third Proportional to 764,216,403.75 and 1,666,777,709.25

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Solution

The third proportional to 764,216,403.75 and 1,666,777,709.25 is: 3,635,289,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,216,403.75 : 1,666,777,709.25 = 1,666,777,709.25 : x
  2. Step 2: Convert to fraction form
    764,216,403.75/1,666,777,709.25 = 1,666,777,709.25/x
  3. Step 3: Cross multiply
    764,216,403.75x = 1,666,777,709.25 × 1,666,777,709.25
  4. Step 4: Simplify right side
    764,216,403.75x = 2,778,147,932,052,677,632
  5. Step 5: Solve for x
    x = 2,778,147,932,052,677,632/764,216,403.75
  6. Step 6: Final answer
    x = 3,635,289,583.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.