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Finding the Third Proportional to 153,906,450,951 and 330,975,293,544

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Solution

The third proportional to 153,906,450,951 and 330,975,293,544 is: 711,761,230,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906,450,951 : 330,975,293,544 = 330,975,293,544 : x
  2. Step 2: Convert to fraction form
    153,906,450,951/330,975,293,544 = 330,975,293,544/x
  3. Step 3: Cross multiply
    153,906,450,951x = 330,975,293,544 × 330,975,293,544
  4. Step 4: Simplify right side
    153,906,450,951x = 109,544,644,936,536,963,416,064
  5. Step 5: Solve for x
    x = 109,544,644,936,536,963,416,064/153,906,450,951
  6. Step 6: Final answer
    x = 711,761,230,667.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.