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Finding the Third Proportional to 911,969,463.38 and 1,849,315,548.38

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Solution

The third proportional to 911,969,463.38 and 1,849,315,548.38 is: 3,750,090,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,969,463.38 : 1,849,315,548.38 = 1,849,315,548.38 : x
  2. Step 2: Convert to fraction form
    911,969,463.38/1,849,315,548.38 = 1,849,315,548.38/x
  3. Step 3: Cross multiply
    911,969,463.38x = 1,849,315,548.38 × 1,849,315,548.38
  4. Step 4: Simplify right side
    911,969,463.38x = 3,419,967,997,461,527,040
  5. Step 5: Solve for x
    x = 3,419,967,997,461,527,040/911,969,463.38
  6. Step 6: Final answer
    x = 3,750,090,474.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.