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Finding the Third Proportional to 18,533,830.50 and 38,601,670.50

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Solution

The third proportional to 18,533,830.50 and 38,601,670.50 is: 80,398,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533,830.50 : 38,601,670.50 = 38,601,670.50 : x
  2. Step 2: Convert to fraction form
    18,533,830.50/38,601,670.50 = 38,601,670.50/x
  3. Step 3: Cross multiply
    18,533,830.50x = 38,601,670.50 × 38,601,670.50
  4. Step 4: Simplify right side
    18,533,830.50x = 1,490,088,965,390,570.25
  5. Step 5: Solve for x
    x = 1,490,088,965,390,570.25/18,533,830.50
  6. Step 6: Final answer
    x = 80,398,327.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.