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Finding the Third Proportional to 68,532,638,580 and 150,304,181,058

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Solution

The third proportional to 68,532,638,580 and 150,304,181,058 is: 329,643,616,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532,638,580 : 150,304,181,058 = 150,304,181,058 : x
  2. Step 2: Convert to fraction form
    68,532,638,580/150,304,181,058 = 150,304,181,058/x
  3. Step 3: Cross multiply
    68,532,638,580x = 150,304,181,058 × 150,304,181,058
  4. Step 4: Simplify right side
    68,532,638,580x = 22,591,346,843,516,047,196,160
  5. Step 5: Solve for x
    x = 22,591,346,843,516,047,196,160/68,532,638,580
  6. Step 6: Final answer
    x = 329,643,616,700.16

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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.