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Finding the Third Proportional to 172,866,979,746 and 374,590,711,620

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Solution

The third proportional to 172,866,979,746 and 374,590,711,620 is: 811,711,996,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,866,979,746 : 374,590,711,620 = 374,590,711,620 : x
  2. Step 2: Convert to fraction form
    172,866,979,746/374,590,711,620 = 374,590,711,620/x
  3. Step 3: Cross multiply
    172,866,979,746x = 374,590,711,620 × 374,590,711,620
  4. Step 4: Simplify right side
    172,866,979,746x = 140,318,201,231,978,002,382,848
  5. Step 5: Solve for x
    x = 140,318,201,231,978,002,382,848/172,866,979,746
  6. Step 6: Final answer
    x = 811,711,996,346.28

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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.