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Finding the Third Proportional to 13,201,899 and 21,006,826.50

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Solution

The third proportional to 13,201,899 and 21,006,826.50 is: 33,426,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201,899 : 21,006,826.50 = 21,006,826.50 : x
  2. Step 2: Convert to fraction form
    13,201,899/21,006,826.50 = 21,006,826.50/x
  3. Step 3: Cross multiply
    13,201,899x = 21,006,826.50 × 21,006,826.50
  4. Step 4: Simplify right side
    13,201,899x = 441,286,759,601,102.25
  5. Step 5: Solve for x
    x = 441,286,759,601,102.25/13,201,899
  6. Step 6: Final answer
    x = 33,426,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.