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Finding the Third Proportional to 4,910,318 and 11,574,986

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Solution

The third proportional to 4,910,318 and 11,574,986 is: 27,285,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910,318 : 11,574,986 = 11,574,986 : x
  2. Step 2: Convert to fraction form
    4,910,318/11,574,986 = 11,574,986/x
  3. Step 3: Cross multiply
    4,910,318x = 11,574,986 × 11,574,986
  4. Step 4: Simplify right side
    4,910,318x = 133,980,300,900,196
  5. Step 5: Solve for x
    x = 133,980,300,900,196/4,910,318
  6. Step 6: Final answer
    x = 27,285,463.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.