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Finding the Third Proportional to 21,018,163.50 and 46,177,047

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Solution

The third proportional to 21,018,163.50 and 46,177,047 is: 101,451,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,163.50 : 46,177,047 = 46,177,047 : x
  2. Step 2: Convert to fraction form
    21,018,163.50/46,177,047 = 46,177,047/x
  3. Step 3: Cross multiply
    21,018,163.50x = 46,177,047 × 46,177,047
  4. Step 4: Simplify right side
    21,018,163.50x = 2,132,319,669,640,209
  5. Step 5: Solve for x
    x = 2,132,319,669,640,209/21,018,163.50
  6. Step 6: Final answer
    x = 101,451,283.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.