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Finding the Third Proportional to 968,982,150 and 2,125,561,331.25

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Solution

The third proportional to 968,982,150 and 2,125,561,331.25 is: 4,662,635,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,982,150 : 2,125,561,331.25 = 2,125,561,331.25 : x
  2. Step 2: Convert to fraction form
    968,982,150/2,125,561,331.25 = 2,125,561,331.25/x
  3. Step 3: Cross multiply
    968,982,150x = 2,125,561,331.25 × 2,125,561,331.25
  4. Step 4: Simplify right side
    968,982,150x = 4,518,010,972,905,272,320
  5. Step 5: Solve for x
    x = 4,518,010,972,905,272,320/968,982,150
  6. Step 6: Final answer
    x = 4,662,635,914.30

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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.