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Finding the Third Proportional to 7,483,471 and 16,164,445

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Solution

The third proportional to 7,483,471 and 16,164,445 is: 34,915,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483,471 : 16,164,445 = 16,164,445 : x
  2. Step 2: Convert to fraction form
    7,483,471/16,164,445 = 16,164,445/x
  3. Step 3: Cross multiply
    7,483,471x = 16,164,445 × 16,164,445
  4. Step 4: Simplify right side
    7,483,471x = 261,289,282,158,025
  5. Step 5: Solve for x
    x = 261,289,282,158,025/7,483,471
  6. Step 6: Final answer
    x = 34,915,520.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.