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Finding the Third Proportional to 19,476,490.50 and 41,654,652.75

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Solution

The third proportional to 19,476,490.50 and 41,654,652.75 is: 89,087,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476,490.50 : 41,654,652.75 = 41,654,652.75 : x
  2. Step 2: Convert to fraction form
    19,476,490.50/41,654,652.75 = 41,654,652.75/x
  3. Step 3: Cross multiply
    19,476,490.50x = 41,654,652.75 × 41,654,652.75
  4. Step 4: Simplify right side
    19,476,490.50x = 1,735,110,095,723,082.50
  5. Step 5: Solve for x
    x = 1,735,110,095,723,082.50/19,476,490.50
  6. Step 6: Final answer
    x = 89,087,410.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.