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Finding the Third Proportional to 5,495,571 and 11,747,430

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Solution

The third proportional to 5,495,571 and 11,747,430 is: 25,111,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495,571 : 11,747,430 = 11,747,430 : x
  2. Step 2: Convert to fraction form
    5,495,571/11,747,430 = 11,747,430/x
  3. Step 3: Cross multiply
    5,495,571x = 11,747,430 × 11,747,430
  4. Step 4: Simplify right side
    5,495,571x = 138,002,111,604,900
  5. Step 5: Solve for x
    x = 138,002,111,604,900/5,495,571
  6. Step 6: Final answer
    x = 25,111,514.64

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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.