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Finding the Third Proportional to 70,125,293,727 and 150,180,032,961

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Solution

The third proportional to 70,125,293,727 and 150,180,032,961 is: 321,624,924,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125,293,727 : 150,180,032,961 = 150,180,032,961 : x
  2. Step 2: Convert to fraction form
    70,125,293,727/150,180,032,961 = 150,180,032,961/x
  3. Step 3: Cross multiply
    70,125,293,727x = 150,180,032,961 × 150,180,032,961
  4. Step 4: Simplify right side
    70,125,293,727x = 22,554,042,300,167,048,134,656
  5. Step 5: Solve for x
    x = 22,554,042,300,167,048,134,656/70,125,293,727
  6. Step 6: Final answer
    x = 321,624,924,495.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.