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Finding the Third Proportional to 2,232,082,346 and 3,675,357,039

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Solution

The third proportional to 2,232,082,346 and 3,675,357,039 is: 6,051,859,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,082,346 : 3,675,357,039 = 3,675,357,039 : x
  2. Step 2: Convert to fraction form
    2,232,082,346/3,675,357,039 = 3,675,357,039/x
  3. Step 3: Cross multiply
    2,232,082,346x = 3,675,357,039 × 3,675,357,039
  4. Step 4: Simplify right side
    2,232,082,346x = 13,508,249,364,126,846,976
  5. Step 5: Solve for x
    x = 13,508,249,364,126,846,976/2,232,082,346
  6. Step 6: Final answer
    x = 6,051,859,774.95

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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.