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Finding the Third Proportional to 357,565,296 and 546,744,456

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Solution

The third proportional to 357,565,296 and 546,744,456 is: 836,013,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,565,296 : 546,744,456 = 546,744,456 : x
  2. Step 2: Convert to fraction form
    357,565,296/546,744,456 = 546,744,456/x
  3. Step 3: Cross multiply
    357,565,296x = 546,744,456 × 546,744,456
  4. Step 4: Simplify right side
    357,565,296x = 298,929,500,166,735,936
  5. Step 5: Solve for x
    x = 298,929,500,166,735,936/357,565,296
  6. Step 6: Final answer
    x = 836,013,739.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.