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Finding the Third Proportional to 10,285,341 and 22,118,592

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Solution

The third proportional to 10,285,341 and 22,118,592 is: 47,565,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285,341 : 22,118,592 = 22,118,592 : x
  2. Step 2: Convert to fraction form
    10,285,341/22,118,592 = 22,118,592/x
  3. Step 3: Cross multiply
    10,285,341x = 22,118,592 × 22,118,592
  4. Step 4: Simplify right side
    10,285,341x = 489,232,112,062,464
  5. Step 5: Solve for x
    x = 489,232,112,062,464/10,285,341
  6. Step 6: Final answer
    x = 47,565,959.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.