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Finding the Third Proportional to 2,232,082,344 and 3,675,357,036

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Solution

The third proportional to 2,232,082,344 and 3,675,357,036 is: 6,051,859,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,082,344 : 3,675,357,036 = 3,675,357,036 : x
  2. Step 2: Convert to fraction form
    2,232,082,344/3,675,357,036 = 3,675,357,036/x
  3. Step 3: Cross multiply
    2,232,082,344x = 3,675,357,036 × 3,675,357,036
  4. Step 4: Simplify right side
    2,232,082,344x = 13,508,249,342,074,705,920
  5. Step 5: Solve for x
    x = 13,508,249,342,074,705,920/2,232,082,344
  6. Step 6: Final answer
    x = 6,051,859,770.49

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.