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Finding the Third Proportional to 364,346,523 and 793,384,488

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Solution

The third proportional to 364,346,523 and 793,384,488 is: 1,727,638,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,346,523 : 793,384,488 = 793,384,488 : x
  2. Step 2: Convert to fraction form
    364,346,523/793,384,488 = 793,384,488/x
  3. Step 3: Cross multiply
    364,346,523x = 793,384,488 × 793,384,488
  4. Step 4: Simplify right side
    364,346,523x = 629,458,945,799,022,080
  5. Step 5: Solve for x
    x = 629,458,945,799,022,080/364,346,523
  6. Step 6: Final answer
    x = 1,727,638,130.36

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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.