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Finding the Third Proportional to 632,597,212,254 and 963,696,491,841

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Solution

The third proportional to 632,597,212,254 and 963,696,491,841 is: 1,468,092,034,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,597,212,254 : 963,696,491,841 = 963,696,491,841 : x
  2. Step 2: Convert to fraction form
    632,597,212,254/963,696,491,841 = 963,696,491,841/x
  3. Step 3: Cross multiply
    632,597,212,254x = 963,696,491,841 × 963,696,491,841
  4. Step 4: Simplify right side
    632,597,212,254x = 928,710,928,386,650,623,967,232
  5. Step 5: Solve for x
    x = 928,710,928,386,650,623,967,232/632,597,212,254
  6. Step 6: Final answer
    x = 1,468,092,034,546.87

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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.