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Finding the Third Proportional to 169,796,952,311.62 and 363,446,341,390.12

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Solution

The third proportional to 169,796,952,311.62 and 363,446,341,390.12 is: 777,948,256,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,952,311.62 : 363,446,341,390.12 = 363,446,341,390.12 : x
  2. Step 2: Convert to fraction form
    169,796,952,311.62/363,446,341,390.12 = 363,446,341,390.12/x
  3. Step 3: Cross multiply
    169,796,952,311.62x = 363,446,341,390.12 × 363,446,341,390.12
  4. Step 4: Simplify right side
    169,796,952,311.62x = 132,093,243,069,863,645,151,232
  5. Step 5: Solve for x
    x = 132,093,243,069,863,645,151,232/169,796,952,311.62
  6. Step 6: Final answer
    x = 777,948,256,853.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.