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Finding the Third Proportional to 4,102,941.09 and 8,928,321.19

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Solution

The third proportional to 4,102,941.09 and 8,928,321.19 is: 19,428,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,941.09 : 8,928,321.19 = 8,928,321.19 : x
  2. Step 2: Convert to fraction form
    4,102,941.09/8,928,321.19 = 8,928,321.19/x
  3. Step 3: Cross multiply
    4,102,941.09x = 8,928,321.19 × 8,928,321.19
  4. Step 4: Simplify right side
    4,102,941.09x = 79,714,919,227,161.41
  5. Step 5: Solve for x
    x = 79,714,919,227,161.41/4,102,941.09
  6. Step 6: Final answer
    x = 19,428,726.22

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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.