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Finding the Third Proportional to 1,069,986,903 and 2,170,059,405

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Solution

The third proportional to 1,069,986,903 and 2,170,059,405 is: 4,401,135,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,986,903 : 2,170,059,405 = 2,170,059,405 : x
  2. Step 2: Convert to fraction form
    1,069,986,903/2,170,059,405 = 2,170,059,405/x
  3. Step 3: Cross multiply
    1,069,986,903x = 2,170,059,405 × 2,170,059,405
  4. Step 4: Simplify right side
    1,069,986,903x = 4,709,157,821,228,953,600
  5. Step 5: Solve for x
    x = 4,709,157,821,228,953,600/1,069,986,903
  6. Step 6: Final answer
    x = 4,401,135,946.64

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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.