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Finding the Third Proportional to 321,971,442.75 and 694,931,697

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Solution

The third proportional to 321,971,442.75 and 694,931,697 is: 1,499,915,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,971,442.75 : 694,931,697 = 694,931,697 : x
  2. Step 2: Convert to fraction form
    321,971,442.75/694,931,697 = 694,931,697/x
  3. Step 3: Cross multiply
    321,971,442.75x = 694,931,697 × 694,931,697
  4. Step 4: Simplify right side
    321,971,442.75x = 482,930,063,495,299,840
  5. Step 5: Solve for x
    x = 482,930,063,495,299,840/321,971,442.75
  6. Step 6: Final answer
    x = 1,499,915,829.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.