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Finding the Third Proportional to 267,970,139 and 580,458,348.50

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Solution

The third proportional to 267,970,139 and 580,458,348.50 is: 1,257,348,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,139 : 580,458,348.50 = 580,458,348.50 : x
  2. Step 2: Convert to fraction form
    267,970,139/580,458,348.50 = 580,458,348.50/x
  3. Step 3: Cross multiply
    267,970,139x = 580,458,348.50 × 580,458,348.50
  4. Step 4: Simplify right side
    267,970,139x = 336,931,894,343,347,456
  5. Step 5: Solve for x
    x = 336,931,894,343,347,456/267,970,139
  6. Step 6: Final answer
    x = 1,257,348,656.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.