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Finding the Third Proportional to 1,601,356,467 and 3,461,717,883

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Solution

The third proportional to 1,601,356,467 and 3,461,717,883 is: 7,483,337,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,356,467 : 3,461,717,883 = 3,461,717,883 : x
  2. Step 2: Convert to fraction form
    1,601,356,467/3,461,717,883 = 3,461,717,883/x
  3. Step 3: Cross multiply
    1,601,356,467x = 3,461,717,883 × 3,461,717,883
  4. Step 4: Simplify right side
    1,601,356,467x = 11,983,490,701,482,002,432
  5. Step 5: Solve for x
    x = 11,983,490,701,482,002,432/1,601,356,467
  6. Step 6: Final answer
    x = 7,483,337,375.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.