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Finding the Third Proportional to 543,251,545 and 1,176,753,143

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Solution

The third proportional to 543,251,545 and 1,176,753,143 is: 2,548,999,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,251,545 : 1,176,753,143 = 1,176,753,143 : x
  2. Step 2: Convert to fraction form
    543,251,545/1,176,753,143 = 1,176,753,143/x
  3. Step 3: Cross multiply
    543,251,545x = 1,176,753,143 × 1,176,753,143
  4. Step 4: Simplify right side
    543,251,545x = 1,384,747,959,560,378,368
  5. Step 5: Solve for x
    x = 1,384,747,959,560,378,368/543,251,545
  6. Step 6: Final answer
    x = 2,548,999,579.12

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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.