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Finding the Third Proportional to 214,545,068 and 463,082,678

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Solution

The third proportional to 214,545,068 and 463,082,678 is: 999,536,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,545,068 : 463,082,678 = 463,082,678 : x
  2. Step 2: Convert to fraction form
    214,545,068/463,082,678 = 463,082,678/x
  3. Step 3: Cross multiply
    214,545,068x = 463,082,678 × 463,082,678
  4. Step 4: Simplify right side
    214,545,068x = 214,445,566,663,651,680
  5. Step 5: Solve for x
    x = 214,445,566,663,651,680/214,545,068
  6. Step 6: Final answer
    x = 999,536,221.75

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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.