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Finding the Third Proportional to 671,177,709 and 1,582,152,471

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Solution

The third proportional to 671,177,709 and 1,582,152,471 is: 3,729,573,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,177,709 : 1,582,152,471 = 1,582,152,471 : x
  2. Step 2: Convert to fraction form
    671,177,709/1,582,152,471 = 1,582,152,471/x
  3. Step 3: Cross multiply
    671,177,709x = 1,582,152,471 × 1,582,152,471
  4. Step 4: Simplify right side
    671,177,709x = 2,503,206,441,491,405,824
  5. Step 5: Solve for x
    x = 2,503,206,441,491,405,824/671,177,709
  6. Step 6: Final answer
    x = 3,729,573,267.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.