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Finding the Third Proportional to 534,126,180.38 and 806,770,661.63

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Solution

The third proportional to 534,126,180.38 and 806,770,661.63 is: 1,218,586,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,126,180.38 : 806,770,661.63 = 806,770,661.63 : x
  2. Step 2: Convert to fraction form
    534,126,180.38/806,770,661.63 = 806,770,661.63/x
  3. Step 3: Cross multiply
    534,126,180.38x = 806,770,661.63 × 806,770,661.63
  4. Step 4: Simplify right side
    534,126,180.38x = 650,878,900,458,840,192
  5. Step 5: Solve for x
    x = 650,878,900,458,840,192/534,126,180.38
  6. Step 6: Final answer
    x = 1,218,586,402.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.