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Finding the Third Proportional to 237,912,961 and 363,707,619

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Solution

The third proportional to 237,912,961 and 363,707,619 is: 556,015,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912,961 : 363,707,619 = 363,707,619 : x
  2. Step 2: Convert to fraction form
    237,912,961/363,707,619 = 363,707,619/x
  3. Step 3: Cross multiply
    237,912,961x = 363,707,619 × 363,707,619
  4. Step 4: Simplify right side
    237,912,961x = 132,283,232,118,649,168
  5. Step 5: Solve for x
    x = 132,283,232,118,649,168/237,912,961
  6. Step 6: Final answer
    x = 556,015,240.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.