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Finding the Third Proportional to 43,386,759,727,843 and 93,675,410,087,200

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Solution

The third proportional to 43,386,759,727,843 and 93,675,410,087,200 is: 202,252,542,251,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,386,759,727,843 : 93,675,410,087,200 = 93,675,410,087,200 : x
  2. Step 2: Convert to fraction form
    43,386,759,727,843/93,675,410,087,200 = 93,675,410,087,200/x
  3. Step 3: Cross multiply
    43,386,759,727,843x = 93,675,410,087,200 × 93,675,410,087,200
  4. Step 4: Simplify right side
    43,386,759,727,843x = 8,775,082,455,005,091,866,383,220,736
  5. Step 5: Solve for x
    x = 8,775,082,455,005,091,866,383,220,736/43,386,759,727,843
  6. Step 6: Final answer
    x = 202,252,542,251,358.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.