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Finding the Third Proportional to 71,651,797,424 and 155,482,957,024

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Solution

The third proportional to 71,651,797,424 and 155,482,957,024 is: 337,394,884,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,651,797,424 : 155,482,957,024 = 155,482,957,024 : x
  2. Step 2: Convert to fraction form
    71,651,797,424/155,482,957,024 = 155,482,957,024/x
  3. Step 3: Cross multiply
    71,651,797,424x = 155,482,957,024 × 155,482,957,024
  4. Step 4: Simplify right side
    71,651,797,424x = 24,174,949,924,927,032,000,512
  5. Step 5: Solve for x
    x = 24,174,949,924,927,032,000,512/71,651,797,424
  6. Step 6: Final answer
    x = 337,394,884,623.36

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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.