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Finding the Third Proportional to 364,346,448 and 793,384,358

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Solution

The third proportional to 364,346,448 and 793,384,358 is: 1,727,637,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,346,448 : 793,384,358 = 793,384,358 : x
  2. Step 2: Convert to fraction form
    364,346,448/793,384,358 = 793,384,358/x
  3. Step 3: Cross multiply
    364,346,448x = 793,384,358 × 793,384,358
  4. Step 4: Simplify right side
    364,346,448x = 629,458,739,519,072,128
  5. Step 5: Solve for x
    x = 629,458,739,519,072,128/364,346,448
  6. Step 6: Final answer
    x = 1,727,637,919.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.