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Finding the Third Proportional to 43,726,304,596,878 and 91,071,809,716,940

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Solution

The third proportional to 43,726,304,596,878 and 91,071,809,716,940 is: 189,681,579,579,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,726,304,596,878 : 91,071,809,716,940 = 91,071,809,716,940 : x
  2. Step 2: Convert to fraction form
    43,726,304,596,878/91,071,809,716,940 = 91,071,809,716,940/x
  3. Step 3: Cross multiply
    43,726,304,596,878x = 91,071,809,716,940 × 91,071,809,716,940
  4. Step 4: Simplify right side
    43,726,304,596,878x = 8,294,074,525,118,526,877,666,902,016
  5. Step 5: Solve for x
    x = 8,294,074,525,118,526,877,666,902,016/43,726,304,596,878
  6. Step 6: Final answer
    x = 189,681,579,579,691.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.