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Finding the Third Proportional to 8,381,772 and 12,415,506

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Solution

The third proportional to 8,381,772 and 12,415,506 is: 18,390,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,772 : 12,415,506 = 12,415,506 : x
  2. Step 2: Convert to fraction form
    8,381,772/12,415,506 = 12,415,506/x
  3. Step 3: Cross multiply
    8,381,772x = 12,415,506 × 12,415,506
  4. Step 4: Simplify right side
    8,381,772x = 154,144,789,236,036
  5. Step 5: Solve for x
    x = 154,144,789,236,036/8,381,772
  6. Step 6: Final answer
    x = 18,390,477.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.