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Finding the Third Proportional to 14,005,878 and 30,465,732

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Solution

The third proportional to 14,005,878 and 30,465,732 is: 66,269,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005,878 : 30,465,732 = 30,465,732 : x
  2. Step 2: Convert to fraction form
    14,005,878/30,465,732 = 30,465,732/x
  3. Step 3: Cross multiply
    14,005,878x = 30,465,732 × 30,465,732
  4. Step 4: Simplify right side
    14,005,878x = 928,160,826,295,824
  5. Step 5: Solve for x
    x = 928,160,826,295,824/14,005,878
  6. Step 6: Final answer
    x = 66,269,378.21

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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.