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Finding the Third Proportional to 169,775,406 and 363,753,516

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Solution

The third proportional to 169,775,406 and 363,753,516 is: 779,362,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,775,406 : 363,753,516 = 363,753,516 : x
  2. Step 2: Convert to fraction form
    169,775,406/363,753,516 = 363,753,516/x
  3. Step 3: Cross multiply
    169,775,406x = 363,753,516 × 363,753,516
  4. Step 4: Simplify right side
    169,775,406x = 132,316,620,402,362,256
  5. Step 5: Solve for x
    x = 132,316,620,402,362,256/169,775,406
  6. Step 6: Final answer
    x = 779,362,709.36

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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.