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Finding the Third Proportional to 17,755,976,808 and 38,637,720,768

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Solution

The third proportional to 17,755,976,808 and 38,637,720,768 is: 84,077,236,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755,976,808 : 38,637,720,768 = 38,637,720,768 : x
  2. Step 2: Convert to fraction form
    17,755,976,808/38,637,720,768 = 38,637,720,768/x
  3. Step 3: Cross multiply
    17,755,976,808x = 38,637,720,768 × 38,637,720,768
  4. Step 4: Simplify right side
    17,755,976,808x = 1,492,873,466,145,938,604,032
  5. Step 5: Solve for x
    x = 1,492,873,466,145,938,604,032/17,755,976,808
  6. Step 6: Final answer
    x = 84,077,236,768.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.