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Finding the Third Proportional to 764,681,279 and 1,180,801,633

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Solution

The third proportional to 764,681,279 and 1,180,801,633 is: 1,823,364,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,681,279 : 1,180,801,633 = 1,180,801,633 : x
  2. Step 2: Convert to fraction form
    764,681,279/1,180,801,633 = 1,180,801,633/x
  3. Step 3: Cross multiply
    764,681,279x = 1,180,801,633 × 1,180,801,633
  4. Step 4: Simplify right side
    764,681,279x = 1,394,292,496,495,466,752
  5. Step 5: Solve for x
    x = 1,394,292,496,495,466,752/764,681,279
  6. Step 6: Final answer
    x = 1,823,364,236.56

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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.