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Finding the Third Proportional to 17,755,976,788 and 38,637,720,724

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Solution

The third proportional to 17,755,976,788 and 38,637,720,724 is: 84,077,236,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755,976,788 : 38,637,720,724 = 38,637,720,724 : x
  2. Step 2: Convert to fraction form
    17,755,976,788/38,637,720,724 = 38,637,720,724/x
  3. Step 3: Cross multiply
    17,755,976,788x = 38,637,720,724 × 38,637,720,724
  4. Step 4: Simplify right side
    17,755,976,788x = 1,492,873,462,745,818,988,544
  5. Step 5: Solve for x
    x = 1,492,873,462,745,818,988,544/17,755,976,788
  6. Step 6: Final answer
    x = 84,077,236,671.92

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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.