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Finding the Third Proportional to 1,383,377,036 and 3,012,380,068

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Solution

The third proportional to 1,383,377,036 and 3,012,380,068 is: 6,559,624,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,377,036 : 3,012,380,068 = 3,012,380,068 : x
  2. Step 2: Convert to fraction form
    1,383,377,036/3,012,380,068 = 3,012,380,068/x
  3. Step 3: Cross multiply
    1,383,377,036x = 3,012,380,068 × 3,012,380,068
  4. Step 4: Simplify right side
    1,383,377,036x = 9,074,433,674,083,684,352
  5. Step 5: Solve for x
    x = 9,074,433,674,083,684,352/1,383,377,036
  6. Step 6: Final answer
    x = 6,559,624,338.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.