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Finding the Third Proportional to 267,295,398 and 425,323,770

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Solution

The third proportional to 267,295,398 and 425,323,770 is: 676,780,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,295,398 : 425,323,770 = 425,323,770 : x
  2. Step 2: Convert to fraction form
    267,295,398/425,323,770 = 425,323,770/x
  3. Step 3: Cross multiply
    267,295,398x = 425,323,770 × 425,323,770
  4. Step 4: Simplify right side
    267,295,398x = 180,900,309,327,012,896
  5. Step 5: Solve for x
    x = 180,900,309,327,012,896/267,295,398
  6. Step 6: Final answer
    x = 676,780,485.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.