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Finding the Third Proportional to 64,017,309,591,100 and 86,374,381,553,150

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Solution

The third proportional to 64,017,309,591,100 and 86,374,381,553,150 is: 116,539,320,948,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017,309,591,100 : 86,374,381,553,150 = 86,374,381,553,150 : x
  2. Step 2: Convert to fraction form
    64,017,309,591,100/86,374,381,553,150 = 86,374,381,553,150/x
  3. Step 3: Cross multiply
    64,017,309,591,100x = 86,374,381,553,150 × 86,374,381,553,150
  4. Step 4: Simplify right side
    64,017,309,591,100x = 7,460,533,788,689,139,118,802,731,008
  5. Step 5: Solve for x
    x = 7,460,533,788,689,139,118,802,731,008/64,017,309,591,100
  6. Step 6: Final answer
    x = 116,539,320,948,382.05

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