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Finding the Third Proportional to 3,878,660 and 8,440,960

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Solution

The third proportional to 3,878,660 and 8,440,960 is: 18,369,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878,660 : 8,440,960 = 8,440,960 : x
  2. Step 2: Convert to fraction form
    3,878,660/8,440,960 = 8,440,960/x
  3. Step 3: Cross multiply
    3,878,660x = 8,440,960 × 8,440,960
  4. Step 4: Simplify right side
    3,878,660x = 71,249,805,721,600
  5. Step 5: Solve for x
    x = 71,249,805,721,600/3,878,660
  6. Step 6: Final answer
    x = 18,369,696.16

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