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Finding the Third Proportional to 4,101,829 and 8,941,729

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Solution

The third proportional to 4,101,829 and 8,941,729 is: 19,492,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,829 : 8,941,729 = 8,941,729 : x
  2. Step 2: Convert to fraction form
    4,101,829/8,941,729 = 8,941,729/x
  3. Step 3: Cross multiply
    4,101,829x = 8,941,729 × 8,941,729
  4. Step 4: Simplify right side
    4,101,829x = 79,954,517,509,441
  5. Step 5: Solve for x
    x = 79,954,517,509,441/4,101,829
  6. Step 6: Final answer
    x = 19,492,406.32

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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.