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Finding the Third Proportional to 57,304,190,148 and 123,315,509,640

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Solution

The third proportional to 57,304,190,148 and 123,315,509,640 is: 265,368,289,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,304,190,148 : 123,315,509,640 = 123,315,509,640 : x
  2. Step 2: Convert to fraction form
    57,304,190,148/123,315,509,640 = 123,315,509,640/x
  3. Step 3: Cross multiply
    57,304,190,148x = 123,315,509,640 × 123,315,509,640
  4. Step 4: Simplify right side
    57,304,190,148x = 15,206,714,917,772,932,939,776
  5. Step 5: Solve for x
    x = 15,206,714,917,772,932,939,776/57,304,190,148
  6. Step 6: Final answer
    x = 265,368,289,447.92

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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.