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Finding the Third Proportional to 749,744,843,954 and 1,142,158,804,863

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Solution

The third proportional to 749,744,843,954 and 1,142,158,804,863 is: 1,739,960,929,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,744,843,954 : 1,142,158,804,863 = 1,142,158,804,863 : x
  2. Step 2: Convert to fraction form
    749,744,843,954/1,142,158,804,863 = 1,142,158,804,863/x
  3. Step 3: Cross multiply
    749,744,843,954x = 1,142,158,804,863 × 1,142,158,804,863
  4. Step 4: Simplify right side
    749,744,843,954x = 1,304,526,735,526,076,511,944,704
  5. Step 5: Solve for x
    x = 1,304,526,735,526,076,511,944,704/749,744,843,954
  6. Step 6: Final answer
    x = 1,739,960,929,436.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.