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Finding the Third Proportional to 10,483,520 and 22,424,344

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Solution

The third proportional to 10,483,520 and 22,424,344 is: 47,965,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,520 : 22,424,344 = 22,424,344 : x
  2. Step 2: Convert to fraction form
    10,483,520/22,424,344 = 22,424,344/x
  3. Step 3: Cross multiply
    10,483,520x = 22,424,344 × 22,424,344
  4. Step 4: Simplify right side
    10,483,520x = 502,851,203,830,336
  5. Step 5: Solve for x
    x = 502,851,203,830,336/10,483,520
  6. Step 6: Final answer
    x = 47,965,874.42

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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.