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Finding the Third Proportional to 242,070,591,728 and 529,741,976,684

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Solution

The third proportional to 242,070,591,728 and 529,741,976,684 is: 1,159,275,729,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,070,591,728 : 529,741,976,684 = 529,741,976,684 : x
  2. Step 2: Convert to fraction form
    242,070,591,728/529,741,976,684 = 529,741,976,684/x
  3. Step 3: Cross multiply
    242,070,591,728x = 529,741,976,684 × 529,741,976,684
  4. Step 4: Simplify right side
    242,070,591,728x = 280,626,561,861,071,610,576,896
  5. Step 5: Solve for x
    x = 280,626,561,861,071,610,576,896/242,070,591,728
  6. Step 6: Final answer
    x = 1,159,275,729,686.30

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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.