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Finding the Third Proportional to 212,373,632 and 463,353,984

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Solution

The third proportional to 212,373,632 and 463,353,984 is: 1,010,939,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,373,632 : 463,353,984 = 463,353,984 : x
  2. Step 2: Convert to fraction form
    212,373,632/463,353,984 = 463,353,984/x
  3. Step 3: Cross multiply
    212,373,632x = 463,353,984 × 463,353,984
  4. Step 4: Simplify right side
    212,373,632x = 214,696,914,488,672,256
  5. Step 5: Solve for x
    x = 214,696,914,488,672,256/212,373,632
  6. Step 6: Final answer
    x = 1,010,939,599.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.