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Finding the Third Proportional to 238,315,481,128 and 518,472,047,496

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Solution

The third proportional to 238,315,481,128 and 518,472,047,496 is: 1,127,972,311,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,315,481,128 : 518,472,047,496 = 518,472,047,496 : x
  2. Step 2: Convert to fraction form
    238,315,481,128/518,472,047,496 = 518,472,047,496/x
  3. Step 3: Cross multiply
    238,315,481,128x = 518,472,047,496 × 518,472,047,496
  4. Step 4: Simplify right side
    238,315,481,128x = 268,813,264,034,694,464,274,432
  5. Step 5: Solve for x
    x = 268,813,264,034,694,464,274,432/238,315,481,128
  6. Step 6: Final answer
    x = 1,127,972,311,166.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.