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Finding the Third Proportional to 6,527,063 and 14,215,423

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Solution

The third proportional to 6,527,063 and 14,215,423 is: 30,960,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527,063 : 14,215,423 = 14,215,423 : x
  2. Step 2: Convert to fraction form
    6,527,063/14,215,423 = 14,215,423/x
  3. Step 3: Cross multiply
    6,527,063x = 14,215,423 × 14,215,423
  4. Step 4: Simplify right side
    6,527,063x = 202,078,251,068,929
  5. Step 5: Solve for x
    x = 202,078,251,068,929/6,527,063
  6. Step 6: Final answer
    x = 30,960,058.31

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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.