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Finding the Third Proportional to 43,609,571,125 and 94,661,890,321

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Solution

The third proportional to 43,609,571,125 and 94,661,890,321 is: 205,479,513,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,609,571,125 : 94,661,890,321 = 94,661,890,321 : x
  2. Step 2: Convert to fraction form
    43,609,571,125/94,661,890,321 = 94,661,890,321/x
  3. Step 3: Cross multiply
    43,609,571,125x = 94,661,890,321 × 94,661,890,321
  4. Step 4: Simplify right side
    43,609,571,125x = 8,960,873,479,145,033,564,160
  5. Step 5: Solve for x
    x = 8,960,873,479,145,033,564,160/43,609,571,125
  6. Step 6: Final answer
    x = 205,479,513,968.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.