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Finding the Third Proportional to 936,696,168,356 and 1,263,823,045,437

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Solution

The third proportional to 936,696,168,356 and 1,263,823,045,437 is: 1,705,194,004,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,696,168,356 : 1,263,823,045,437 = 1,263,823,045,437 : x
  2. Step 2: Convert to fraction form
    936,696,168,356/1,263,823,045,437 = 1,263,823,045,437/x
  3. Step 3: Cross multiply
    936,696,168,356x = 1,263,823,045,437 × 1,263,823,045,437
  4. Step 4: Simplify right side
    936,696,168,356x = 1,597,248,690,177,653,470,134,272
  5. Step 5: Solve for x
    x = 1,597,248,690,177,653,470,134,272/936,696,168,356
  6. Step 6: Final answer
    x = 1,705,194,004,349.34

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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.