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Finding the Third Proportional to 237,421,818 and 523,146,401

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Solution

The third proportional to 237,421,818 and 523,146,401 is: 1,152,725,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,421,818 : 523,146,401 = 523,146,401 : x
  2. Step 2: Convert to fraction form
    237,421,818/523,146,401 = 523,146,401/x
  3. Step 3: Cross multiply
    237,421,818x = 523,146,401 × 523,146,401
  4. Step 4: Simplify right side
    237,421,818x = 273,682,156,879,252,800
  5. Step 5: Solve for x
    x = 273,682,156,879,252,800/237,421,818
  6. Step 6: Final answer
    x = 1,152,725,386.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.