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Finding the Third Proportional to 169,796,952,324 and 363,446,341,416

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Solution

The third proportional to 169,796,952,324 and 363,446,341,416 is: 777,948,256,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,952,324 : 363,446,341,416 = 363,446,341,416 : x
  2. Step 2: Convert to fraction form
    169,796,952,324/363,446,341,416 = 363,446,341,416/x
  3. Step 3: Cross multiply
    169,796,952,324x = 363,446,341,416 × 363,446,341,416
  4. Step 4: Simplify right side
    169,796,952,324x = 132,093,243,088,675,635,462,144
  5. Step 5: Solve for x
    x = 132,093,243,088,675,635,462,144/169,796,952,324
  6. Step 6: Final answer
    x = 777,948,256,907.58

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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.