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Finding the Third Proportional to 57,304,190,020 and 123,315,509,384

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Solution

The third proportional to 57,304,190,020 and 123,315,509,384 is: 265,368,288,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,304,190,020 : 123,315,509,384 = 123,315,509,384 : x
  2. Step 2: Convert to fraction form
    57,304,190,020/123,315,509,384 = 123,315,509,384/x
  3. Step 3: Cross multiply
    57,304,190,020x = 123,315,509,384 × 123,315,509,384
  4. Step 4: Simplify right side
    57,304,190,020x = 15,206,714,854,635,391,156,224
  5. Step 5: Solve for x
    x = 15,206,714,854,635,391,156,224/57,304,190,020
  6. Step 6: Final answer
    x = 265,368,288,938.87

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Why These Related Problems?

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