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Finding the Third Proportional to 1,034,817,405,640 and 2,251,853,333,059

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Solution

The third proportional to 1,034,817,405,640 and 2,251,853,333,059 is: 4,900,230,133,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,817,405,640 : 2,251,853,333,059 = 2,251,853,333,059 : x
  2. Step 2: Convert to fraction form
    1,034,817,405,640/2,251,853,333,059 = 2,251,853,333,059/x
  3. Step 3: Cross multiply
    1,034,817,405,640x = 2,251,853,333,059 × 2,251,853,333,059
  4. Step 4: Simplify right side
    1,034,817,405,640x = 5,070,843,433,608,927,867,043,840
  5. Step 5: Solve for x
    x = 5,070,843,433,608,927,867,043,840/1,034,817,405,640
  6. Step 6: Final answer
    x = 4,900,230,133,327.51

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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.