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Finding the Third Proportional to 117,747,820,613 and 256,806,757,561

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Solution

The third proportional to 117,747,820,613 and 256,806,757,561 is: 560,092,835,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,747,820,613 : 256,806,757,561 = 256,806,757,561 : x
  2. Step 2: Convert to fraction form
    117,747,820,613/256,806,757,561 = 256,806,757,561/x
  3. Step 3: Cross multiply
    117,747,820,613x = 256,806,757,561 × 256,806,757,561
  4. Step 4: Simplify right side
    117,747,820,613x = 65,949,710,728,994,230,370,304
  5. Step 5: Solve for x
    x = 65,949,710,728,994,230,370,304/117,747,820,613
  6. Step 6: Final answer
    x = 560,092,835,567.21

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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.