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Finding the Third Proportional to 764,681,008.50 and 1,180,801,283.06

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Solution

The third proportional to 764,681,008.50 and 1,180,801,283.06 is: 1,823,363,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,681,008.50 : 1,180,801,283.06 = 1,180,801,283.06 : x
  2. Step 2: Convert to fraction form
    764,681,008.50/1,180,801,283.06 = 1,180,801,283.06/x
  3. Step 3: Cross multiply
    764,681,008.50x = 1,180,801,283.06 × 1,180,801,283.06
  4. Step 4: Simplify right side
    764,681,008.50x = 1,394,291,670,082,046,208
  5. Step 5: Solve for x
    x = 1,394,291,670,082,046,208/764,681,008.50
  6. Step 6: Final answer
    x = 1,823,363,800.83

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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.