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Finding the Third Proportional to 670,413,684 and 1,443,287,452

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Solution

The third proportional to 670,413,684 and 1,443,287,452 is: 3,107,154,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,413,684 : 1,443,287,452 = 1,443,287,452 : x
  2. Step 2: Convert to fraction form
    670,413,684/1,443,287,452 = 1,443,287,452/x
  3. Step 3: Cross multiply
    670,413,684x = 1,443,287,452 × 1,443,287,452
  4. Step 4: Simplify right side
    670,413,684x = 2,083,078,669,100,652,288
  5. Step 5: Solve for x
    x = 2,083,078,669,100,652,288/670,413,684
  6. Step 6: Final answer
    x = 3,107,154,162.89

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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.