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Finding the Third Proportional to 695,373,804 and 1,473,652,395

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Solution

The third proportional to 695,373,804 and 1,473,652,395 is: 3,122,998,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,373,804 : 1,473,652,395 = 1,473,652,395 : x
  2. Step 2: Convert to fraction form
    695,373,804/1,473,652,395 = 1,473,652,395/x
  3. Step 3: Cross multiply
    695,373,804x = 1,473,652,395 × 1,473,652,395
  4. Step 4: Simplify right side
    695,373,804x = 2,171,651,381,289,235,968
  5. Step 5: Solve for x
    x = 2,171,651,381,289,235,968/695,373,804
  6. Step 6: Final answer
    x = 3,122,998,549.55

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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.