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Finding the Third Proportional to 71,645,971 and 155,456,036

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Solution

The third proportional to 71,645,971 and 155,456,036 is: 337,305,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645,971 : 155,456,036 = 155,456,036 : x
  2. Step 2: Convert to fraction form
    71,645,971/155,456,036 = 155,456,036/x
  3. Step 3: Cross multiply
    71,645,971x = 155,456,036 × 155,456,036
  4. Step 4: Simplify right side
    71,645,971x = 24,166,579,128,833,296
  5. Step 5: Solve for x
    x = 24,166,579,128,833,296/71,645,971
  6. Step 6: Final answer
    x = 337,305,486.85

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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.