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Finding the Third Proportional to 24,941,523,090.50 and 51,650,988,600.25

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Solution

The third proportional to 24,941,523,090.50 and 51,650,988,600.25 is: 106,963,179,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941,523,090.50 : 51,650,988,600.25 = 51,650,988,600.25 : x
  2. Step 2: Convert to fraction form
    24,941,523,090.50/51,650,988,600.25 = 51,650,988,600.25/x
  3. Step 3: Cross multiply
    24,941,523,090.50x = 51,650,988,600.25 × 51,650,988,600.25
  4. Step 4: Simplify right side
    24,941,523,090.50x = 2,667,824,623,383,155,310,592
  5. Step 5: Solve for x
    x = 2,667,824,623,383,155,310,592/24,941,523,090.50
  6. Step 6: Final answer
    x = 106,963,179,983.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.