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Finding the Third Proportional to 1,684,483,272 and 2,618,584,956

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Solution

The third proportional to 1,684,483,272 and 2,618,584,956 is: 4,070,676,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,483,272 : 2,618,584,956 = 2,618,584,956 : x
  2. Step 2: Convert to fraction form
    1,684,483,272/2,618,584,956 = 2,618,584,956/x
  3. Step 3: Cross multiply
    1,684,483,272x = 2,618,584,956 × 2,618,584,956
  4. Step 4: Simplify right side
    1,684,483,272x = 6,856,987,171,789,521,920
  5. Step 5: Solve for x
    x = 6,856,987,171,789,521,920/1,684,483,272
  6. Step 6: Final answer
    x = 4,070,676,916.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.