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Finding the Third Proportional to 2,397,663 and 5,137,326

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Solution

The third proportional to 2,397,663 and 5,137,326 is: 11,007,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,663 : 5,137,326 = 5,137,326 : x
  2. Step 2: Convert to fraction form
    2,397,663/5,137,326 = 5,137,326/x
  3. Step 3: Cross multiply
    2,397,663x = 5,137,326 × 5,137,326
  4. Step 4: Simplify right side
    2,397,663x = 26,392,118,430,276
  5. Step 5: Solve for x
    x = 26,392,118,430,276/2,397,663
  6. Step 6: Final answer
    x = 11,007,434.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.