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Finding the Third Proportional to 68,532,638,582 and 150,304,181,062

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Solution

The third proportional to 68,532,638,582 and 150,304,181,062 is: 329,643,616,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532,638,582 : 150,304,181,062 = 150,304,181,062 : x
  2. Step 2: Convert to fraction form
    68,532,638,582/150,304,181,062 = 150,304,181,062/x
  3. Step 3: Cross multiply
    68,532,638,582x = 150,304,181,062 × 150,304,181,062
  4. Step 4: Simplify right side
    68,532,638,582x = 22,591,346,844,718,478,655,488
  5. Step 5: Solve for x
    x = 22,591,346,844,718,478,655,488/68,532,638,582
  6. Step 6: Final answer
    x = 329,643,616,708.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.