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Finding the Third Proportional to 695,373,816 and 1,473,652,419

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Solution

The third proportional to 695,373,816 and 1,473,652,419 is: 3,122,998,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,373,816 : 1,473,652,419 = 1,473,652,419 : x
  2. Step 2: Convert to fraction form
    695,373,816/1,473,652,419 = 1,473,652,419/x
  3. Step 3: Cross multiply
    695,373,816x = 1,473,652,419 × 1,473,652,419
  4. Step 4: Simplify right side
    695,373,816x = 2,171,651,452,024,551,680
  5. Step 5: Solve for x
    x = 2,171,651,452,024,551,680/695,373,816
  6. Step 6: Final answer
    x = 3,122,998,597.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.