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Finding the Third Proportional to 14,005,874 and 30,465,724

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Solution

The third proportional to 14,005,874 and 30,465,724 is: 66,269,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005,874 : 30,465,724 = 30,465,724 : x
  2. Step 2: Convert to fraction form
    14,005,874/30,465,724 = 30,465,724/x
  3. Step 3: Cross multiply
    14,005,874x = 30,465,724 × 30,465,724
  4. Step 4: Simplify right side
    14,005,874x = 928,160,338,844,176
  5. Step 5: Solve for x
    x = 928,160,338,844,176/14,005,874
  6. Step 6: Final answer
    x = 66,269,362.33

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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.