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Finding the Third Proportional to 317,910,103 and 429,389,710

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Solution

The third proportional to 317,910,103 and 429,389,710 is: 579,961,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,910,103 : 429,389,710 = 429,389,710 : x
  2. Step 2: Convert to fraction form
    317,910,103/429,389,710 = 429,389,710/x
  3. Step 3: Cross multiply
    317,910,103x = 429,389,710 × 429,389,710
  4. Step 4: Simplify right side
    317,910,103x = 184,375,523,053,884,096
  5. Step 5: Solve for x
    x = 184,375,523,053,884,096/317,910,103
  6. Step 6: Final answer
    x = 579,961,194.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.