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Finding the Third Proportional to 6,606,214 and 10,106,765

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Solution

The third proportional to 6,606,214 and 10,106,765 is: 15,462,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606,214 : 10,106,765 = 10,106,765 : x
  2. Step 2: Convert to fraction form
    6,606,214/10,106,765 = 10,106,765/x
  3. Step 3: Cross multiply
    6,606,214x = 10,106,765 × 10,106,765
  4. Step 4: Simplify right side
    6,606,214x = 102,146,698,765,225
  5. Step 5: Solve for x
    x = 102,146,698,765,225/6,606,214
  6. Step 6: Final answer
    x = 15,462,214.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.