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Finding the Third Proportional to 764,680,971.75 and 1,180,801,243.88

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Solution

The third proportional to 764,680,971.75 and 1,180,801,243.88 is: 1,823,363,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,680,971.75 : 1,180,801,243.88 = 1,180,801,243.88 : x
  2. Step 2: Convert to fraction form
    764,680,971.75/1,180,801,243.88 = 1,180,801,243.88/x
  3. Step 3: Cross multiply
    764,680,971.75x = 1,180,801,243.88 × 1,180,801,243.88
  4. Step 4: Simplify right side
    764,680,971.75x = 1,394,291,577,536,747,264
  5. Step 5: Solve for x
    x = 1,394,291,577,536,747,264/764,680,971.75
  6. Step 6: Final answer
    x = 1,823,363,767.44

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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.