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Finding the Third Proportional to 2,563,653.80 and 5,603,709.09

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Solution

The third proportional to 2,563,653.80 and 5,603,709.09 is: 12,248,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,653.80 : 5,603,709.09 = 5,603,709.09 : x
  2. Step 2: Convert to fraction form
    2,563,653.80/5,603,709.09 = 5,603,709.09/x
  3. Step 3: Cross multiply
    2,563,653.80x = 5,603,709.09 × 5,603,709.09
  4. Step 4: Simplify right side
    2,563,653.80x = 31,401,555,607,376.45
  5. Step 5: Solve for x
    x = 31,401,555,607,376.45/2,563,653.80
  6. Step 6: Final answer
    x = 12,248,750.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.