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Finding the Third Proportional to 1,629,636,170 and 2,584,704,134

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Solution

The third proportional to 1,629,636,170 and 2,584,704,134 is: 4,099,501,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,636,170 : 2,584,704,134 = 2,584,704,134 : x
  2. Step 2: Convert to fraction form
    1,629,636,170/2,584,704,134 = 2,584,704,134/x
  3. Step 3: Cross multiply
    1,629,636,170x = 2,584,704,134 × 2,584,704,134
  4. Step 4: Simplify right side
    1,629,636,170x = 6,680,695,460,316,690,432
  5. Step 5: Solve for x
    x = 6,680,695,460,316,690,432/1,629,636,170
  6. Step 6: Final answer
    x = 4,099,501,215.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.