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Finding the Third Proportional to 764,681,596.03 and 1,180,802,215.13

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Solution

The third proportional to 764,681,596.03 and 1,180,802,215.13 is: 1,823,365,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,681,596.03 : 1,180,802,215.13 = 1,180,802,215.13 : x
  2. Step 2: Convert to fraction form
    764,681,596.03/1,180,802,215.13 = 1,180,802,215.13/x
  3. Step 3: Cross multiply
    764,681,596.03x = 1,180,802,215.13 × 1,180,802,215.13
  4. Step 4: Simplify right side
    764,681,596.03x = 1,394,293,871,244,106,752
  5. Step 5: Solve for x
    x = 1,394,293,871,244,106,752/764,681,596.03
  6. Step 6: Final answer
    x = 1,823,365,278.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.