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Finding the Third Proportional to 561,452,244.19 and 1,251,999,954.56

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Solution

The third proportional to 561,452,244.19 and 1,251,999,954.56 is: 2,791,873,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,452,244.19 : 1,251,999,954.56 = 1,251,999,954.56 : x
  2. Step 2: Convert to fraction form
    561,452,244.19/1,251,999,954.56 = 1,251,999,954.56/x
  3. Step 3: Cross multiply
    561,452,244.19x = 1,251,999,954.56 × 1,251,999,954.56
  4. Step 4: Simplify right side
    561,452,244.19x = 1,567,503,886,224,502,016
  5. Step 5: Solve for x
    x = 1,567,503,886,224,502,016/561,452,244.19
  6. Step 6: Final answer
    x = 2,791,873,934.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.