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Finding the Third Proportional to 765,135,085 and 1,636,645,849

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Solution

The third proportional to 765,135,085 and 1,636,645,849 is: 3,500,832,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,135,085 : 1,636,645,849 = 1,636,645,849 : x
  2. Step 2: Convert to fraction form
    765,135,085/1,636,645,849 = 1,636,645,849/x
  3. Step 3: Cross multiply
    765,135,085x = 1,636,645,849 × 1,636,645,849
  4. Step 4: Simplify right side
    765,135,085x = 2,678,609,635,048,930,816
  5. Step 5: Solve for x
    x = 2,678,609,635,048,930,816/765,135,085
  6. Step 6: Final answer
    x = 3,500,832,320.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.