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Finding the Third Proportional to 690,522,912 and 1,479,539,412

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Solution

The third proportional to 690,522,912 and 1,479,539,412 is: 3,170,114,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,522,912 : 1,479,539,412 = 1,479,539,412 : x
  2. Step 2: Convert to fraction form
    690,522,912/1,479,539,412 = 1,479,539,412/x
  3. Step 3: Cross multiply
    690,522,912x = 1,479,539,412 × 1,479,539,412
  4. Step 4: Simplify right side
    690,522,912x = 2,189,036,871,661,305,856
  5. Step 5: Solve for x
    x = 2,189,036,871,661,305,856/690,522,912
  6. Step 6: Final answer
    x = 3,170,114,754.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.