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Finding the Third Proportional to 2,569,810,779 and 3,467,278,089

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Solution

The third proportional to 2,569,810,779 and 3,467,278,089 is: 4,678,172,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,810,779 : 3,467,278,089 = 3,467,278,089 : x
  2. Step 2: Convert to fraction form
    2,569,810,779/3,467,278,089 = 3,467,278,089/x
  3. Step 3: Cross multiply
    2,569,810,779x = 3,467,278,089 × 3,467,278,089
  4. Step 4: Simplify right side
    2,569,810,779x = 12,022,017,346,459,492,352
  5. Step 5: Solve for x
    x = 12,022,017,346,459,492,352/2,569,810,779
  6. Step 6: Final answer
    x = 4,678,172,200.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.