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Finding the Third Proportional to 316,507,923 and 674,822,214

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Solution

The third proportional to 316,507,923 and 674,822,214 is: 1,438,779,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,507,923 : 674,822,214 = 674,822,214 : x
  2. Step 2: Convert to fraction form
    316,507,923/674,822,214 = 674,822,214/x
  3. Step 3: Cross multiply
    316,507,923x = 674,822,214 × 674,822,214
  4. Step 4: Simplify right side
    316,507,923x = 455,385,020,507,861,824
  5. Step 5: Solve for x
    x = 455,385,020,507,861,824/316,507,923
  6. Step 6: Final answer
    x = 1,438,779,213.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.