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Finding the Third Proportional to 543,251,574 and 1,176,753,198

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Solution

The third proportional to 543,251,574 and 1,176,753,198 is: 2,548,999,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,251,574 : 1,176,753,198 = 1,176,753,198 : x
  2. Step 2: Convert to fraction form
    543,251,574/1,176,753,198 = 1,176,753,198/x
  3. Step 3: Cross multiply
    543,251,574x = 1,176,753,198 × 1,176,753,198
  4. Step 4: Simplify right side
    543,251,574x = 1,384,748,089,003,227,136
  5. Step 5: Solve for x
    x = 1,384,748,089,003,227,136/543,251,574
  6. Step 6: Final answer
    x = 2,548,999,681.32

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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.