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Finding the Third Proportional to 38,028,230 and 83,025,054

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Solution

The third proportional to 38,028,230 and 83,025,054 is: 181,264,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,028,230 : 83,025,054 = 83,025,054 : x
  2. Step 2: Convert to fraction form
    38,028,230/83,025,054 = 83,025,054/x
  3. Step 3: Cross multiply
    38,028,230x = 83,025,054 × 83,025,054
  4. Step 4: Simplify right side
    38,028,230x = 6,893,159,591,702,916
  5. Step 5: Solve for x
    x = 6,893,159,591,702,916/38,028,230
  6. Step 6: Final answer
    x = 181,264,276.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.