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Finding the Third Proportional to 1,049,694,953.84 and 2,255,167,474.38

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Solution

The third proportional to 1,049,694,953.84 and 2,255,167,474.38 is: 4,845,007,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,694,953.84 : 2,255,167,474.38 = 2,255,167,474.38 : x
  2. Step 2: Convert to fraction form
    1,049,694,953.84/2,255,167,474.38 = 2,255,167,474.38/x
  3. Step 3: Cross multiply
    1,049,694,953.84x = 2,255,167,474.38 × 2,255,167,474.38
  4. Step 4: Simplify right side
    1,049,694,953.84x = 5,085,780,337,514,097,664
  5. Step 5: Solve for x
    x = 5,085,780,337,514,097,664/1,049,694,953.84
  6. Step 6: Final answer
    x = 4,845,007,893.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.