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Finding the Third Proportional to 7,813,574 and 16,225,996

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Solution

The third proportional to 7,813,574 and 16,225,996 is: 33,695,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,574 : 16,225,996 = 16,225,996 : x
  2. Step 2: Convert to fraction form
    7,813,574/16,225,996 = 16,225,996/x
  3. Step 3: Cross multiply
    7,813,574x = 16,225,996 × 16,225,996
  4. Step 4: Simplify right side
    7,813,574x = 263,282,946,192,016
  5. Step 5: Solve for x
    x = 263,282,946,192,016/7,813,574
  6. Step 6: Final answer
    x = 33,695,584.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.