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Finding the Third Proportional to 117,747,820,611 and 256,806,757,557

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Solution

The third proportional to 117,747,820,611 and 256,806,757,557 is: 560,092,835,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,747,820,611 : 256,806,757,557 = 256,806,757,557 : x
  2. Step 2: Convert to fraction form
    117,747,820,611/256,806,757,557 = 256,806,757,557/x
  3. Step 3: Cross multiply
    117,747,820,611x = 256,806,757,557 × 256,806,757,557
  4. Step 4: Simplify right side
    117,747,820,611x = 65,949,710,726,939,776,385,024
  5. Step 5: Solve for x
    x = 65,949,710,726,939,776,385,024/117,747,820,611
  6. Step 6: Final answer
    x = 560,092,835,559.28

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