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Finding the Third Proportional to 7,229,117 and 9,637,747

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Solution

The third proportional to 7,229,117 and 9,637,747 is: 12,848,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229,117 : 9,637,747 = 9,637,747 : x
  2. Step 2: Convert to fraction form
    7,229,117/9,637,747 = 9,637,747/x
  3. Step 3: Cross multiply
    7,229,117x = 9,637,747 × 9,637,747
  4. Step 4: Simplify right side
    7,229,117x = 92,886,167,236,009
  5. Step 5: Solve for x
    x = 92,886,167,236,009/7,229,117
  6. Step 6: Final answer
    x = 12,848,895.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.