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Finding the Third Proportional to 3,650,595.75 and 5,675,009.63

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Solution

The third proportional to 3,650,595.75 and 5,675,009.63 is: 8,822,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650,595.75 : 5,675,009.63 = 5,675,009.63 : x
  2. Step 2: Convert to fraction form
    3,650,595.75/5,675,009.63 = 5,675,009.63/x
  3. Step 3: Cross multiply
    3,650,595.75x = 5,675,009.63 × 5,675,009.63
  4. Step 4: Simplify right side
    3,650,595.75x = 32,205,734,243,842.64
  5. Step 5: Solve for x
    x = 32,205,734,243,842.64/3,650,595.75
  6. Step 6: Final answer
    x = 8,822,048.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.