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Finding the Third Proportional to 709,700,401 and 1,553,189,439

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Solution

The third proportional to 709,700,401 and 1,553,189,439 is: 3,399,177,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,700,401 : 1,553,189,439 = 1,553,189,439 : x
  2. Step 2: Convert to fraction form
    709,700,401/1,553,189,439 = 1,553,189,439/x
  3. Step 3: Cross multiply
    709,700,401x = 1,553,189,439 × 1,553,189,439
  4. Step 4: Simplify right side
    709,700,401x = 2,412,397,433,421,134,848
  5. Step 5: Solve for x
    x = 2,412,397,433,421,134,848/709,700,401
  6. Step 6: Final answer
    x = 3,399,177,216.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.