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Finding the Third Proportional to 764,681,277.09 and 1,180,801,630.41

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Solution

The third proportional to 764,681,277.09 and 1,180,801,630.41 is: 1,823,364,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,681,277.09 : 1,180,801,630.41 = 1,180,801,630.41 : x
  2. Step 2: Convert to fraction form
    764,681,277.09/1,180,801,630.41 = 1,180,801,630.41/x
  3. Step 3: Cross multiply
    764,681,277.09x = 1,180,801,630.41 × 1,180,801,630.41
  4. Step 4: Simplify right side
    764,681,277.09x = 1,394,292,490,369,939,968
  5. Step 5: Solve for x
    x = 1,394,292,490,369,939,968/764,681,277.09
  6. Step 6: Final answer
    x = 1,823,364,233.09

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1.5x scale

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.