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Finding the Third Proportional to 78,893,652,825 and 168,957,965,106

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Solution

The third proportional to 78,893,652,825 and 168,957,965,106 is: 361,838,917,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,893,652,825 : 168,957,965,106 = 168,957,965,106 : x
  2. Step 2: Convert to fraction form
    78,893,652,825/168,957,965,106 = 168,957,965,106/x
  3. Step 3: Cross multiply
    78,893,652,825x = 168,957,965,106 × 168,957,965,106
  4. Step 4: Simplify right side
    78,893,652,825x = 28,546,793,972,760,311,758,848
  5. Step 5: Solve for x
    x = 28,546,793,972,760,311,758,848/78,893,652,825
  6. Step 6: Final answer
    x = 361,838,917,968.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.