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Finding the Third Proportional to 826,531,776,520 and 1,283,314,379,562

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Solution

The third proportional to 826,531,776,520 and 1,283,314,379,562 is: 1,992,537,786,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,531,776,520 : 1,283,314,379,562 = 1,283,314,379,562 : x
  2. Step 2: Convert to fraction form
    826,531,776,520/1,283,314,379,562 = 1,283,314,379,562/x
  3. Step 3: Cross multiply
    826,531,776,520x = 1,283,314,379,562 × 1,283,314,379,562
  4. Step 4: Simplify right side
    826,531,776,520x = 1,646,895,796,790,601,061,498,880
  5. Step 5: Solve for x
    x = 1,646,895,796,790,601,061,498,880/826,531,776,520
  6. Step 6: Final answer
    x = 1,992,537,786,901.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.