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Finding the Third Proportional to 936,696,168,354 and 1,263,823,045,434

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Solution

The third proportional to 936,696,168,354 and 1,263,823,045,434 is: 1,705,194,004,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,696,168,354 : 1,263,823,045,434 = 1,263,823,045,434 : x
  2. Step 2: Convert to fraction form
    936,696,168,354/1,263,823,045,434 = 1,263,823,045,434/x
  3. Step 3: Cross multiply
    936,696,168,354x = 1,263,823,045,434 × 1,263,823,045,434
  4. Step 4: Simplify right side
    936,696,168,354x = 1,597,248,690,170,070,436,937,728
  5. Step 5: Solve for x
    x = 1,597,248,690,170,070,436,937,728/936,696,168,354
  6. Step 6: Final answer
    x = 1,705,194,004,344.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.