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Finding the Third Proportional to 10,285,344 and 22,118,598

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Solution

The third proportional to 10,285,344 and 22,118,598 is: 47,565,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285,344 : 22,118,598 = 22,118,598 : x
  2. Step 2: Convert to fraction form
    10,285,344/22,118,598 = 22,118,598/x
  3. Step 3: Cross multiply
    10,285,344x = 22,118,598 × 22,118,598
  4. Step 4: Simplify right side
    10,285,344x = 489,232,377,485,604
  5. Step 5: Solve for x
    x = 489,232,377,485,604/10,285,344
  6. Step 6: Final answer
    x = 47,565,971.30

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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.