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Finding the Third Proportional to 316,879,032 and 680,613,408

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Solution

The third proportional to 316,879,032 and 680,613,408 is: 1,461,865,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,879,032 : 680,613,408 = 680,613,408 : x
  2. Step 2: Convert to fraction form
    316,879,032/680,613,408 = 680,613,408/x
  3. Step 3: Cross multiply
    316,879,032x = 680,613,408 × 680,613,408
  4. Step 4: Simplify right side
    316,879,032x = 463,234,611,149,374,464
  5. Step 5: Solve for x
    x = 463,234,611,149,374,464/316,879,032
  6. Step 6: Final answer
    x = 1,461,865,773.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.