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Finding the Third Proportional to 4,498,315.86 and 9,713,409.57

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Solution

The third proportional to 4,498,315.86 and 9,713,409.57 is: 20,974,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,315.86 : 9,713,409.57 = 9,713,409.57 : x
  2. Step 2: Convert to fraction form
    4,498,315.86/9,713,409.57 = 9,713,409.57/x
  3. Step 3: Cross multiply
    4,498,315.86x = 9,713,409.57 × 9,713,409.57
  4. Step 4: Simplify right side
    4,498,315.86x = 94,350,325,556,525.45
  5. Step 5: Solve for x
    x = 94,350,325,556,525.45/4,498,315.86
  6. Step 6: Final answer
    x = 20,974,588.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.