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Finding the Third Proportional to 2,909,700 and 6,284,016

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Solution

The third proportional to 2,909,700 and 6,284,016 is: 13,571,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,700 : 6,284,016 = 6,284,016 : x
  2. Step 2: Convert to fraction form
    2,909,700/6,284,016 = 6,284,016/x
  3. Step 3: Cross multiply
    2,909,700x = 6,284,016 × 6,284,016
  4. Step 4: Simplify right side
    2,909,700x = 39,488,857,088,256
  5. Step 5: Solve for x
    x = 39,488,857,088,256/2,909,700
  6. Step 6: Final answer
    x = 13,571,453.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.