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Finding the Third Proportional to 1,195,707,885.75 and 1,683,086,452.88

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Solution

The third proportional to 1,195,707,885.75 and 1,683,086,452.88 is: 2,369,123,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,707,885.75 : 1,683,086,452.88 = 1,683,086,452.88 : x
  2. Step 2: Convert to fraction form
    1,195,707,885.75/1,683,086,452.88 = 1,683,086,452.88/x
  3. Step 3: Cross multiply
    1,195,707,885.75x = 1,683,086,452.88 × 1,683,086,452.88
  4. Step 4: Simplify right side
    1,195,707,885.75x = 2,832,780,007,851,349,504
  5. Step 5: Solve for x
    x = 2,832,780,007,851,349,504/1,195,707,885.75
  6. Step 6: Final answer
    x = 2,369,123,798.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.