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Finding the Third Proportional to 2,564,069.63 and 5,471,363.25

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Solution

The third proportional to 2,564,069.63 and 5,471,363.25 is: 11,675,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,069.63 : 5,471,363.25 = 5,471,363.25 : x
  2. Step 2: Convert to fraction form
    2,564,069.63/5,471,363.25 = 5,471,363.25/x
  3. Step 3: Cross multiply
    2,564,069.63x = 5,471,363.25 × 5,471,363.25
  4. Step 4: Simplify right side
    2,564,069.63x = 29,935,815,813,450.56
  5. Step 5: Solve for x
    x = 29,935,815,813,450.56/2,564,069.63
  6. Step 6: Final answer
    x = 11,675,118.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.