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Finding the Third Proportional to 765,135,081 and 1,636,645,842

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Solution

The third proportional to 765,135,081 and 1,636,645,842 is: 3,500,832,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,135,081 : 1,636,645,842 = 1,636,645,842 : x
  2. Step 2: Convert to fraction form
    765,135,081/1,636,645,842 = 1,636,645,842/x
  3. Step 3: Cross multiply
    765,135,081x = 1,636,645,842 × 1,636,645,842
  4. Step 4: Simplify right side
    765,135,081x = 2,678,609,612,135,888,896
  5. Step 5: Solve for x
    x = 2,678,609,612,135,888,896/765,135,081
  6. Step 6: Final answer
    x = 3,500,832,308.77

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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.