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Finding the Third Proportional to 9,059,748,537,793 and 19,873,511,049,311

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Solution

The third proportional to 9,059,748,537,793 and 19,873,511,049,311 is: 43,594,636,184,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059,748,537,793 : 19,873,511,049,311 = 19,873,511,049,311 : x
  2. Step 2: Convert to fraction form
    9,059,748,537,793/19,873,511,049,311 = 19,873,511,049,311/x
  3. Step 3: Cross multiply
    9,059,748,537,793x = 19,873,511,049,311 × 19,873,511,049,311
  4. Step 4: Simplify right side
    9,059,748,537,793x = 394,956,441,427,086,391,759,601,664
  5. Step 5: Solve for x
    x = 394,956,441,427,086,391,759,601,664/9,059,748,537,793
  6. Step 6: Final answer
    x = 43,594,636,184,383.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.