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Finding the Third Proportional to 384,940,532 and 829,973,992

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Solution

The third proportional to 384,940,532 and 829,973,992 is: 1,789,514,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,940,532 : 829,973,992 = 829,973,992 : x
  2. Step 2: Convert to fraction form
    384,940,532/829,973,992 = 829,973,992/x
  3. Step 3: Cross multiply
    384,940,532x = 829,973,992 × 829,973,992
  4. Step 4: Simplify right side
    384,940,532x = 688,856,827,396,416,000
  5. Step 5: Solve for x
    x = 688,856,827,396,416,000/384,940,532
  6. Step 6: Final answer
    x = 1,789,514,925.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.