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Finding the Third Proportional to 765,135,082.50 and 1,636,645,845

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Solution

The third proportional to 765,135,082.50 and 1,636,645,845 is: 3,500,832,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,135,082.50 : 1,636,645,845 = 1,636,645,845 : x
  2. Step 2: Convert to fraction form
    765,135,082.50/1,636,645,845 = 1,636,645,845/x
  3. Step 3: Cross multiply
    765,135,082.50x = 1,636,645,845 × 1,636,645,845
  4. Step 4: Simplify right side
    765,135,082.50x = 2,678,609,621,955,764,224
  5. Step 5: Solve for x
    x = 2,678,609,621,955,764,224/765,135,082.50
  6. Step 6: Final answer
    x = 3,500,832,314.74

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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.