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Finding the Third Proportional to 8,609,706,012 and 13,367,858,136

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Solution

The third proportional to 8,609,706,012 and 13,367,858,136 is: 20,755,601,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609,706,012 : 13,367,858,136 = 13,367,858,136 : x
  2. Step 2: Convert to fraction form
    8,609,706,012/13,367,858,136 = 13,367,858,136/x
  3. Step 3: Cross multiply
    8,609,706,012x = 13,367,858,136 × 13,367,858,136
  4. Step 4: Simplify right side
    8,609,706,012x = 178,699,631,144,221,409,280
  5. Step 5: Solve for x
    x = 178,699,631,144,221,409,280/8,609,706,012
  6. Step 6: Final answer
    x = 20,755,601,979.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.