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Finding the Third Proportional to 187,436,858 and 407,113,372

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Solution

The third proportional to 187,436,858 and 407,113,372 is: 884,251,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,436,858 : 407,113,372 = 407,113,372 : x
  2. Step 2: Convert to fraction form
    187,436,858/407,113,372 = 407,113,372/x
  3. Step 3: Cross multiply
    187,436,858x = 407,113,372 × 407,113,372
  4. Step 4: Simplify right side
    187,436,858x = 165,741,297,661,210,368
  5. Step 5: Solve for x
    x = 165,741,297,661,210,368/187,436,858
  6. Step 6: Final answer
    x = 884,251,365.66

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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.