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Finding the Third Proportional to 4,119,248.25 and 8,970,804

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Solution

The third proportional to 4,119,248.25 and 8,970,804 is: 19,536,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119,248.25 : 8,970,804 = 8,970,804 : x
  2. Step 2: Convert to fraction form
    4,119,248.25/8,970,804 = 8,970,804/x
  3. Step 3: Cross multiply
    4,119,248.25x = 8,970,804 × 8,970,804
  4. Step 4: Simplify right side
    4,119,248.25x = 80,475,324,406,416
  5. Step 5: Solve for x
    x = 80,475,324,406,416/4,119,248.25
  6. Step 6: Final answer
    x = 19,536,410.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.