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Finding the Third Proportional to 6,527,065 and 14,215,427

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Solution

The third proportional to 6,527,065 and 14,215,427 is: 30,960,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527,065 : 14,215,427 = 14,215,427 : x
  2. Step 2: Convert to fraction form
    6,527,065/14,215,427 = 14,215,427/x
  3. Step 3: Cross multiply
    6,527,065x = 14,215,427 × 14,215,427
  4. Step 4: Simplify right side
    6,527,065x = 202,078,364,792,329
  5. Step 5: Solve for x
    x = 202,078,364,792,329/6,527,065
  6. Step 6: Final answer
    x = 30,960,066.25

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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.