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Finding the Third Proportional to 976,398,845 and 1,473,678,233

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Solution

The third proportional to 976,398,845 and 1,473,678,233 is: 2,224,221,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,845 : 1,473,678,233 = 1,473,678,233 : x
  2. Step 2: Convert to fraction form
    976,398,845/1,473,678,233 = 1,473,678,233/x
  3. Step 3: Cross multiply
    976,398,845x = 1,473,678,233 × 1,473,678,233
  4. Step 4: Simplify right side
    976,398,845x = 2,171,727,534,418,002,176
  5. Step 5: Solve for x
    x = 2,171,727,534,418,002,176/976,398,845
  6. Step 6: Final answer
    x = 2,224,221,736.37

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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.