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Finding the Third Proportional to 8,225,155.13 and 11,498,675.63

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Solution

The third proportional to 8,225,155.13 and 11,498,675.63 is: 16,075,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225,155.13 : 11,498,675.63 = 11,498,675.63 : x
  2. Step 2: Convert to fraction form
    8,225,155.13/11,498,675.63 = 11,498,675.63/x
  3. Step 3: Cross multiply
    8,225,155.13x = 11,498,675.63 × 11,498,675.63
  4. Step 4: Simplify right side
    8,225,155.13x = 132,219,541,128,969.14
  5. Step 5: Solve for x
    x = 132,219,541,128,969.14/8,225,155.13
  6. Step 6: Final answer
    x = 16,075,020.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.