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Finding the Third Proportional to 363,680,321 and 797,771,026

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Solution

The third proportional to 363,680,321 and 797,771,026 is: 1,749,994,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,680,321 : 797,771,026 = 797,771,026 : x
  2. Step 2: Convert to fraction form
    363,680,321/797,771,026 = 797,771,026/x
  3. Step 3: Cross multiply
    363,680,321x = 797,771,026 × 797,771,026
  4. Step 4: Simplify right side
    363,680,321x = 636,438,609,925,092,736
  5. Step 5: Solve for x
    x = 636,438,609,925,092,736/363,680,321
  6. Step 6: Final answer
    x = 1,749,994,633.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.