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Finding the Third Proportional to 481,818,708,855 and 720,817,741,503

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Solution

The third proportional to 481,818,708,855 and 720,817,741,503 is: 1,078,368,703,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,818,708,855 : 720,817,741,503 = 720,817,741,503 : x
  2. Step 2: Convert to fraction form
    481,818,708,855/720,817,741,503 = 720,817,741,503/x
  3. Step 3: Cross multiply
    481,818,708,855x = 720,817,741,503 × 720,817,741,503
  4. Step 4: Simplify right side
    481,818,708,855x = 519,578,216,465,485,709,443,072
  5. Step 5: Solve for x
    x = 519,578,216,465,485,709,443,072/481,818,708,855
  6. Step 6: Final answer
    x = 1,078,368,703,656.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.