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Finding the Third Proportional to 64,017,309,591,098 and 86,374,381,553,147

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Solution

The third proportional to 64,017,309,591,098 and 86,374,381,553,147 is: 116,539,320,948,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017,309,591,098 : 86,374,381,553,147 = 86,374,381,553,147 : x
  2. Step 2: Convert to fraction form
    64,017,309,591,098/86,374,381,553,147 = 86,374,381,553,147/x
  3. Step 3: Cross multiply
    64,017,309,591,098x = 86,374,381,553,147 × 86,374,381,553,147
  4. Step 4: Simplify right side
    64,017,309,591,098x = 7,460,533,788,688,621,248,826,048,512
  5. Step 5: Solve for x
    x = 7,460,533,788,688,621,248,826,048,512/64,017,309,591,098
  6. Step 6: Final answer
    x = 116,539,320,948,377.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.