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Finding the Third Proportional to 17,755,971,927 and 38,637,710,974

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Solution

The third proportional to 17,755,971,927 and 38,637,710,974 is: 84,077,217,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755,971,927 : 38,637,710,974 = 38,637,710,974 : x
  2. Step 2: Convert to fraction form
    17,755,971,927/38,637,710,974 = 38,637,710,974/x
  3. Step 3: Cross multiply
    17,755,971,927x = 38,637,710,974 × 38,637,710,974
  4. Step 4: Simplify right side
    17,755,971,927x = 1,492,872,709,310,360,059,904
  5. Step 5: Solve for x
    x = 1,492,872,709,310,360,059,904/17,755,971,927
  6. Step 6: Final answer
    x = 84,077,217,256.71

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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.