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Finding the Third Proportional to 57,304,190,016 and 123,315,509,376

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Solution

The third proportional to 57,304,190,016 and 123,315,509,376 is: 265,368,288,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,304,190,016 : 123,315,509,376 = 123,315,509,376 : x
  2. Step 2: Convert to fraction form
    57,304,190,016/123,315,509,376 = 123,315,509,376/x
  3. Step 3: Cross multiply
    57,304,190,016x = 123,315,509,376 × 123,315,509,376
  4. Step 4: Simplify right side
    57,304,190,016x = 15,206,714,852,662,344,417,280
  5. Step 5: Solve for x
    x = 15,206,714,852,662,344,417,280/57,304,190,016
  6. Step 6: Final answer
    x = 265,368,288,922.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.