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Finding the Third Proportional to 764,681,796 and 1,180,802,422.69

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Solution

The third proportional to 764,681,796 and 1,180,802,422.69 is: 1,823,365,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,681,796 : 1,180,802,422.69 = 1,180,802,422.69 : x
  2. Step 2: Convert to fraction form
    764,681,796/1,180,802,422.69 = 1,180,802,422.69/x
  3. Step 3: Cross multiply
    764,681,796x = 1,180,802,422.69 × 1,180,802,422.69
  4. Step 4: Simplify right side
    764,681,796x = 1,394,294,361,424,669,440
  5. Step 5: Solve for x
    x = 1,394,294,361,424,669,440/764,681,796
  6. Step 6: Final answer
    x = 1,823,365,442.62

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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.