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Finding the Third Proportional to 3,101,984 and 6,816,258

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Solution

The third proportional to 3,101,984 and 6,816,258 is: 14,977,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,984 : 6,816,258 = 6,816,258 : x
  2. Step 2: Convert to fraction form
    3,101,984/6,816,258 = 6,816,258/x
  3. Step 3: Cross multiply
    3,101,984x = 6,816,258 × 6,816,258
  4. Step 4: Simplify right side
    3,101,984x = 46,461,373,122,564
  5. Step 5: Solve for x
    x = 46,461,373,122,564/3,101,984
  6. Step 6: Final answer
    x = 14,977,953.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.