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Finding the Third Proportional to 632,597,212,266 and 963,696,491,859

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Solution

The third proportional to 632,597,212,266 and 963,696,491,859 is: 1,468,092,034,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,597,212,266 : 963,696,491,859 = 963,696,491,859 : x
  2. Step 2: Convert to fraction form
    632,597,212,266/963,696,491,859 = 963,696,491,859/x
  3. Step 3: Cross multiply
    632,597,212,266x = 963,696,491,859 × 963,696,491,859
  4. Step 4: Simplify right side
    632,597,212,266x = 928,710,928,421,343,624,953,856
  5. Step 5: Solve for x
    x = 928,710,928,421,343,624,953,856/632,597,212,266
  6. Step 6: Final answer
    x = 1,468,092,034,573.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.