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Finding the Third Proportional to 2,662,955,724 and 5,789,413,125

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Solution

The third proportional to 2,662,955,724 and 5,789,413,125 is: 12,586,504,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662,955,724 : 5,789,413,125 = 5,789,413,125 : x
  2. Step 2: Convert to fraction form
    2,662,955,724/5,789,413,125 = 5,789,413,125/x
  3. Step 3: Cross multiply
    2,662,955,724x = 5,789,413,125 × 5,789,413,125
  4. Step 4: Simplify right side
    2,662,955,724x = 33,517,304,331,922,264,064
  5. Step 5: Solve for x
    x = 33,517,304,331,922,264,064/2,662,955,724
  6. Step 6: Final answer
    x = 12,586,504,548.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.