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Finding the Third Proportional to 608,126,106 and 1,327,721,962

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Solution

The third proportional to 608,126,106 and 1,327,721,962 is: 2,898,815,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,126,106 : 1,327,721,962 = 1,327,721,962 : x
  2. Step 2: Convert to fraction form
    608,126,106/1,327,721,962 = 1,327,721,962/x
  3. Step 3: Cross multiply
    608,126,106x = 1,327,721,962 × 1,327,721,962
  4. Step 4: Simplify right side
    608,126,106x = 1,762,845,608,377,129,472
  5. Step 5: Solve for x
    x = 1,762,845,608,377,129,472/608,126,106
  6. Step 6: Final answer
    x = 2,898,815,872.21

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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.